11525523264100 has 36 divisors (see below), whose sum is σ = 25025891342004. Its totient is φ = 4607351082880.

The previous prime is 11525523263999. The next prime is 11525523264131. The reversal of 11525523264100 is 146232552511.

It can be written as a sum of positive squares in 6 ways, for example, as 1685344011264 + 9840179252836 = 1298208^2 + 3136906^2 .

It is a super-2 number, since 2×11525523264100² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11525523264100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35565679 + ... + 35888278.

It is an arithmetic number, because the mean of its divisors is an integer number (695163648389).

Almost surely, 2^{11525523264100} is an apocalyptic number.

11525523264100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11525523264100 is an abundant number, since it is smaller than the sum of its proper divisors (13500368077904).

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

11525523264100 is a wasteful number, since it uses less digits than its factorization.

11525523264100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71455584 (or 71455577 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 11525523264100 in words is "eleven trillion, five hundred twenty-five billion, five hundred twenty-three million, two hundred sixty-four thousand, one hundred".