56484966807360 has 3584 divisors, whose sum is σ = 258134876160000. Its totient is φ = 11549380018176.

The previous prime is 56484966807319. The next prime is 56484966807421. The reversal of 56484966807360 is 6370866948465.

56484966807360 is a `hidden beast` number, since 5 + 6 + 4 + 8 + 496 + 6 + 8 + 0 + 73 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 203916847542 + ... + 203916847818.

It is an arithmetic number, because the mean of its divisors is an integer number (72024240000).

Almost surely, 2^{56484966807360} 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 56484966807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129067438080000).

56484966807360 is an abundant number, since it is smaller than the sum of its proper divisors (201649909352640).

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

56484966807360 is a wasteful number, since it uses less digits than its factorization.

56484966807360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 56484966807360 in words is "fifty-six trillion, four hundred eighty-four billion, nine hundred sixty-six million, eight hundred seven thousand, three hundred sixty".