57656549720000 has 840 divisors, whose sum is σ = 181756543288320. Its totient is φ = 17938609920000.

The previous prime is 57656549719991. The next prime is 57656549720017. The reversal of 57656549720000 is 2794565675.

It is a super-2 number, since 2×57656549720000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13863077921 + ... + 13863082079.

It is an arithmetic number, because the mean of its divisors is an integer number (216376837248).

Almost surely, 2^{57656549720000} is an apocalyptic number.

57656549720000 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 57656549720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90878271644160).

57656549720000 is an abundant number, since it is smaller than the sum of its proper divisors (124099993568320).

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

57656549720000 is a wasteful number, since it uses less digits than its factorization.

57656549720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4859 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 56.

The spelling of 57656549720000 in words is "fifty-seven trillion, six hundred fifty-six billion, five hundred forty-nine million, seven hundred twenty thousand".