56132496000 has 768 divisors, whose sum is σ = 232340659200. Its totient is φ = 12721766400.

The previous prime is 56132495981. The next prime is 56132496011. The reversal of 56132496000 is 69423165.

It is a happy number.

56132496000 is a `hidden beast` number, since 5 + 6 + 1 + 3 + 2 + 49 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234863881 + ... + 234864119.

It is an arithmetic number, because the mean of its divisors is an integer number (302526900).

Almost surely, 2^56132496000 is an apocalyptic number.

56132496000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56132496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116170329600).

56132496000 is an abundant number, since it is smaller than the sum of its proper divisors (176208163200).

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

56132496000 is a wasteful number, since it uses less digits than its factorization.

56132496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 56132496000 in words is "fifty-six billion, one hundred thirty-two million, four hundred ninety-six thousand".