56056568140800 has 1056 divisors, whose sum is σ = 209279561500800. Its totient is φ = 14885130240000.

The previous prime is 56056568140789. The next prime is 56056568140843. The reversal of 56056568140800 is 804186565065.

56056568140800 is a `hidden beast` number, since 5 + 6 + 0 + 565 + 68 + 14 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 14052785206 + ... + 14052789194.

Almost surely, 2^{56056568140800} is an apocalyptic number.

56056568140800 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 56056568140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104639780750400).

56056568140800 is an abundant number, since it is smaller than the sum of its proper divisors (153222993360000).

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

56056568140800 is an equidigital number, since it uses as much as digits as its factorization.

56056568140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4291 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 56056568140800 in words is "fifty-six trillion, fifty-six billion, five hundred sixty-eight million, one hundred forty thousand, eight hundred".