11532656553000 has 128 divisors (see below), whose sum is σ = 39252969325440. Its totient is φ = 2795795520000.

The previous prime is 11532656552983. The next prime is 11532656553029. The reversal of 11532656553000 is 35565623511.

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 31 ways as a sum of consecutive naturals, for example, 174704221 + ... + 174770220.

It is an arithmetic number, because the mean of its divisors is an integer number (306663822855).

Almost surely, 2^{11532656553000} is an apocalyptic number.

11532656553000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11532656553000 is an abundant number, since it is smaller than the sum of its proper divisors (27720312772440).

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

11532656553000 is a wasteful number, since it uses less digits than its factorization.

11532656553000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349474476 (or 349474462 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 42.

The spelling of 11532656553000 in words is "eleven trillion, five hundred thirty-two billion, six hundred fifty-six million, five hundred fifty-three thousand".