Quinquagintaoctingentillion

A quinquagintaoctingentillion is equal to \(10^{2553}\) in the short scale and \(10^{5100}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 850th -illion number.
In the long scale, \(10^{2553}\) is called quinvigintiquadringentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2553}\) (exact) 	\(1\times10^{2553}\) (exact)
Arrow notation 	\(10\uparrow 2553\) (exact) 	\(10\uparrow 2553\) (exact)
Steinhaus-Moser Notation 	868[3] 	869[3]
Chained arrow notation 	\(10\rightarrow 2553\) (exact) 	\(10\rightarrow 2553\) (exact)
Taro's multivariable Ackermann function	A(3,8477) 	A(3,8478)
BEAF & Bird's array notation 	{10,2553} (exact) 	{10,2553} (exact)
Hyper-E notation 	E2553 (exact) 	E2553 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(9)\) 	\(s(1)^3(\lambda x.x+1)(10)\)
m(n) map 	m(1)(868) 	m(1)(869)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8467)\) 	\(f_2(8468)\)
Hardy hierarchy 	\(H_{\omega^2}(8467)\) 	\(H_{\omega^2}(8468)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 5+\omega 5+3}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 5+\omega 5+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{5100}\) (exact) 	\(1\times10^{5100}\) (exact)
Arrow notation 	\(10\uparrow 5100\) (exact) 	\(10\uparrow 5100\) (exact)
Steinhaus-Moser Notation 	1592[3] 	1593[3]
Chained arrow notation 	\(10\rightarrow 5100\) (exact) 	\(10\rightarrow 5100\) (exact)
Taro's multivariable Ackermann function	A(3,16938) 	A(3,16939)
BEAF & Bird's array notation 	{10,5100} (exact) 	{10,5100} (exact)
Hyper-E notation 	E5100 (exact) 	E5100 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(10)\) 	\(s(1)^3(\lambda x.x+1)(11)\)
m(n) map 	m(1)(1592) 	m(1)(1593)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(16927)\) 	\(f_2(16928)\)
Hardy hierarchy 	\(H_{\omega^2}(16927)\) 	\(H_{\omega^2}(16928)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 5+\omega^2}}(10)\) (exact)	\(g_{\omega^{\omega^3 5+\omega^2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers