11655540112500 has 108 divisors (see below), whose sum is σ = 36825912451692. Its totient is φ = 3108144000000.

The previous prime is 11655540112483. The next prime is 11655540112603. The reversal of 11655540112500 is 521104555611.

11655540112500 is a `hidden beast` number, since 1 + 1 + 6 + 55 + 540 + 1 + 12 + 50 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7632378680976 + 4023161431524 = 2762676^2 + 2005782^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51689901 + ... + 51914900.

It is an arithmetic number, because the mean of its divisors is an integer number (340980670849).

Almost surely, 2^{11655540112500} is an apocalyptic number.

11655540112500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11655540112500 is an abundant number, since it is smaller than the sum of its proper divisors (25170372339192).

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

11655540112500 is a wasteful number, since it uses less digits than its factorization.

11655540112500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103604836 (or 103604811 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 11655540112500 in words is "eleven trillion, six hundred fifty-five billion, five hundred forty million, one hundred twelve thousand, five hundred".