56807887200 has 288 divisors, whose sum is σ = 195402493440. Its totient is φ = 14295398400.

The previous prime is 56807887189. The next prime is 56807887261. The reversal of 56807887200 is 278870865.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12355302 + ... + 12359898.

It is an arithmetic number, because the mean of its divisors is an integer number (678480880).

Almost surely, 2^56807887200 is an apocalyptic number.

56807887200 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 56807887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97701246720).

56807887200 is an abundant number, since it is smaller than the sum of its proper divisors (138594606240).

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

56807887200 is a wasteful number, since it uses less digits than its factorization.

56807887200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4910 (or 4897 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 56807887200 in words is "fifty-six billion, eight hundred seven million, eight hundred eighty-seven thousand, two hundred".