56245492800 has 1260 divisors, whose sum is σ = 255134182644. Its totient is φ = 12076646400.

The previous prime is 56245492763. The next prime is 56245492813. The reversal of 56245492800 is 829454265.

56245492800 is a `hidden beast` number, since 5 + 6 + 24 + 549 + 2 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 609892416 + 55635600384 = 24696^2 + 235872^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

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 179 ways as a sum of consecutive naturals, for example, 107956540 + ... + 107957060.

Almost surely, 2^56245492800 is an apocalyptic number.

56245492800 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 56245492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127567091322).

56245492800 is an abundant number, since it is smaller than the sum of its proper divisors (198888689844).

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

56245492800 is a wasteful number, since it uses less digits than its factorization.

56245492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 56245492800 in words is "fifty-six billion, two hundred forty-five million, four hundred ninety-two thousand, eight hundred".