56730853872000 has 6912 divisors, whose sum is σ = 284529732963840. Its totient is φ = 11170317312000.

The previous prime is 56730853871969. The next prime is 56730853872071. The reversal of 56730853872000 is 27835803765.

56730853872000 is a `hidden beast` number, since 5 + 6 + 7 + 30 + 8 + 538 + 72 + 0 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 530194895947 + ... + 530194896053.

It is an arithmetic number, because the mean of its divisors is an integer number (41164602570).

Almost surely, 2^{56730853872000} is an apocalyptic number.

56730853872000 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 56730853872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142264866481920).

56730853872000 is an abundant number, since it is smaller than the sum of its proper divisors (227798879091840).

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

56730853872000 is a wasteful number, since it uses less digits than its factorization.

56730853872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 56730853872000 in words is "fifty-six trillion, seven hundred thirty billion, eight hundred fifty-three million, eight hundred seventy-two thousand".