56587003200 has 1512 divisors, whose sum is σ = 261391603200. Its totient is φ = 11496038400.

The previous prime is 56587003147. The next prime is 56587003211. The reversal of 56587003200 is 230078565.

56587003200 is a `hidden beast` number, since 56 + 587 + 0 + 0 + 3 + 20 + 0 = 666.

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 284356701 + ... + 284356899.

Almost surely, 2^56587003200 is an apocalyptic number.

56587003200 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 56587003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130695801600).

56587003200 is an abundant number, since it is smaller than the sum of its proper divisors (204804600000).

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

56587003200 is a wasteful number, since it uses less digits than its factorization.

56587003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 56587003200 in words is "fifty-six billion, five hundred eighty-seven million, three thousand, two hundred".