56964960000 has 1080 divisors, whose sum is σ = 235335980880. Its totient is φ = 13123584000.

The previous prime is 56964959963. The next prime is 56964960001. The reversal of 56964960000 is 6946965.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56964960001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 318239911 + ... + 318240089.

It is an arithmetic number, because the mean of its divisors is an integer number (217903686).

Almost surely, 2^56964960000 is an apocalyptic number.

56964960000 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 56964960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117667990440).

56964960000 is an abundant number, since it is smaller than the sum of its proper divisors (178371020880).

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

56964960000 is a wasteful number, since it uses less digits than its factorization.

56964960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 56964960000 in words is "fifty-six billion, nine hundred sixty-four million, nine hundred sixty thousand".