23521627008100 has 81 divisors (see below), whose sum is σ = 55271737758027. Its totient is φ = 8684675638080.

The previous prime is 23521627008097. The next prime is 23521627008127. The reversal of 23521627008100 is 180072612532.

The square root of 23521627008100 is 4849910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6062734156644 + 17458892851456 = 2462262^2 + 4178384^2 .

It is a super-2 number, since 2×23521627008100² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23521627008100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 630469647 + ... + 630506953.

Almost surely, 2^{23521627008100} is an apocalyptic number.

23521627008100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23521627008100 is the 4849910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23521627008100

23521627008100 is an abundant number, since it is smaller than the sum of its proper divisors (31750110749927).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23521627008100 is an frugal number, since it uses more digits than its factorization.

23521627008100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74654 (or 37327 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 23521627008100 in words is "twenty-three trillion, five hundred twenty-one billion, six hundred twenty-seven million, eight thousand, one hundred".