56916935953920 has 640 divisors, whose sum is σ = 231122471500800. Its totient is φ = 13005823574016.

The previous prime is 56916935953903. The next prime is 56916935953963. The reversal of 56916935953920 is 2935953961965.

56916935953920 is a `hidden beast` number, since 5 + 6 + 9 + 1 + 6 + 9 + 3 + 595 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 1890347826 + ... + 1890377934.

It is an arithmetic number, because the mean of its divisors is an integer number (361128861720).

Almost surely, 2^{56916935953920} 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 56916935953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115561235750400).

56916935953920 is an abundant number, since it is smaller than the sum of its proper divisors (174205535546880).

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

56916935953920 is a wasteful number, since it uses less digits than its factorization.

56916935953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34055 (or 34033 counting only the distinct ones).

The product of its (nonzero) digits is 531441000, while the sum is 72.

The spelling of 56916935953920 in words is "fifty-six trillion, nine hundred sixteen billion, nine hundred thirty-five million, nine hundred fifty-three thousand, nine hundred twenty".