56861287200 has 720 divisors, whose sum is σ = 222958479744. Its totient is φ = 14050713600.

The previous prime is 56861287199. The next prime is 56861287261. The reversal of 56861287200 is 278216865.

56861287200 is a `hidden beast` number, since 5 + 6 + 8 + 612 + 8 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 78213237 + ... + 78213963.

Almost surely, 2^56861287200 is an apocalyptic number.

56861287200 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 56861287200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111479239872).

56861287200 is an abundant number, since it is smaller than the sum of its proper divisors (166097192544).

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

56861287200 is a wasteful number, since it uses less digits than its factorization.

56861287200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 56861287200 in words is "fifty-six billion, eight hundred sixty-one million, two hundred eighty-seven thousand, two hundred".