11638511053700 has 36 divisors (see below), whose sum is σ = 25260664992612. Its totient is φ = 4654465065600.

The previous prime is 11638511053667. The next prime is 11638511053703. The reversal of 11638511053700 is 735011583611.

It can be written as a sum of positive squares in 6 ways, for example, as 239528021056 + 11398983032644 = 489416^2 + 3376238^2 .

It is not an unprimeable number, because it can be changed into a prime (11638511053703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11243771 + ... + 12235170.

Almost surely, 2^{11638511053700} is an apocalyptic number.

11638511053700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11638511053700 is an abundant number, since it is smaller than the sum of its proper divisors (13622153938912).

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

11638511053700 is a wasteful number, since it uses less digits than its factorization.

11638511053700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23483912 (or 23483905 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 41.

The spelling of 11638511053700 in words is "eleven trillion, six hundred thirty-eight billion, five hundred eleven million, fifty-three thousand, seven hundred".