56331382931460 has 768 divisors, whose sum is σ = 223619917086720. Its totient is φ = 11455679508480.

The previous prime is 56331382931443. The next prime is 56331382931507. The reversal of 56331382931460 is 6413928313365.

56331382931460 is a `hidden beast` number, since 5 + 6 + 3 + 3 + 13 + 82 + 93 + 1 + 460 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 56331382931397 and 56331382931406.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 167054989 + ... + 167391851.

It is an arithmetic number, because the mean of its divisors is an integer number (291171767040).

Almost surely, 2^{56331382931460} 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 56331382931460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111809958543360).

56331382931460 is an abundant number, since it is smaller than the sum of its proper divisors (167288534155260).

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

56331382931460 is a wasteful number, since it uses less digits than its factorization.

56331382931460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337025 (or 337017 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 56331382931460 in words is "fifty-six trillion, three hundred thirty-one billion, three hundred eighty-two million, nine hundred thirty-one thousand, four hundred sixty".