56948640000 has 720 divisors, whose sum is σ = 229416663168. Its totient is φ = 12238848000.

The previous prime is 56948639971. The next prime is 56948640053. The reversal of 56948640000 is 4684965.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57119502 + ... + 57120498.

Almost surely, 2^56948640000 is an apocalyptic number.

56948640000 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 56948640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114708331584).

56948640000 is an abundant number, since it is smaller than the sum of its proper divisors (172468023168).

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

56948640000 is an equidigital number, since it uses as much as digits as its factorization.

56948640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 56948640000 in words is "fifty-six billion, nine hundred forty-eight million, six hundred forty thousand".