56427597918720 has 1920 divisors, whose sum is σ = 234716126920704. Its totient is φ = 12260310515712.

The previous prime is 56427597918689. The next prime is 56427597918739. The reversal of 56427597918720 is 2781979572465.

56427597918720 is a `hidden beast` number, since 5 + 6 + 4 + 2 + 7 + 597 + 9 + 1 + 8 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×56427597918720³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75945622669 + ... + 75945623411.

Almost surely, 2^{56427597918720} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56427597918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117358063460352).

56427597918720 is an abundant number, since it is smaller than the sum of its proper divisors (178288529001984).

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

56427597918720 is a wasteful number, since it uses less digits than its factorization.

56427597918720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 533433600, while the sum is 72.

The spelling of 56427597918720 in words is "fifty-six trillion, four hundred twenty-seven billion, five hundred ninety-seven million, nine hundred eighteen thousand, seven hundred twenty".