56584747172000 has 384 divisors, whose sum is σ = 147273193267200. Its totient is φ = 21366422092800.

The previous prime is 56584747171913. The next prime is 56584747172017. The reversal of 56584747172000 is 27174748565.

It is a super-2 number, since 2×56584747172000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8038744481 + ... + 8038751519.

It is an arithmetic number, because the mean of its divisors is an integer number (383523940800).

Almost surely, 2^{56584747172000} is an apocalyptic number.

56584747172000 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 56584747172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73636596633600).

56584747172000 is an abundant number, since it is smaller than the sum of its proper divisors (90688446095200).

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

56584747172000 is an equidigital number, since it uses as much as digits as its factorization.

56584747172000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7414 (or 7358 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 56.

The spelling of 56584747172000 in words is "fifty-six trillion, five hundred eighty-four billion, seven hundred forty-seven million, one hundred seventy-two thousand".