11256456526100 has 18 divisors (see below), whose sum is σ = 24426510661854. Its totient is φ = 4502582610400.

The previous prime is 11256456526097. The next prime is 11256456526111. The reversal of 11256456526100 is 162565465211.

11256456526100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 128334464644 + 11128122061456 = 358238^2 + 3335884^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56282282531 + ... + 56282282730.

It is an arithmetic number, because the mean of its divisors is an integer number (1357028370103).

Almost surely, 2^{11256456526100} is an apocalyptic number.

11256456526100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11256456526100 is an abundant number, since it is smaller than the sum of its proper divisors (13170054135754).

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

11256456526100 is a wasteful number, since it uses less digits than its factorization.

11256456526100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112564565275 (or 112564565268 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 44.

The spelling of 11256456526100 in words is "eleven trillion, two hundred fifty-six billion, four hundred fifty-six million, five hundred twenty-six thousand, one hundred".