56132501040 has 1600 divisors, whose sum is σ = 265491578880. Its totient is φ = 10637568000.

The previous prime is 56132501023. The next prime is 56132501063. The reversal of 56132501040 is 4010523165.

56132501040 is a `hidden beast` number, since 5 + 613 + 2 + 5 + 0 + 1 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 56132500995 and 56132501013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 293887345 + ... + 293887535.

Almost surely, 2^56132501040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56132501040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132745789440).

56132501040 is an abundant number, since it is smaller than the sum of its proper divisors (209359077840).

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

56132501040 is a wasteful number, since it uses less digits than its factorization.

56132501040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 56132501040 in words is "fifty-six billion, one hundred thirty-two million, five hundred one thousand, forty".