57653762164480 has 36 divisors (see below), whose sum is σ = 138098777187672. Its totient is φ = 23061504865280.

The previous prime is 57653762164463. The next prime is 57653762164507. The reversal of 57653762164480 is 8446126735675.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22520999566 + ... + 22521002125.

It is an arithmetic number, because the mean of its divisors is an integer number (3836077144102).

Almost surely, 2^{57653762164480} is an apocalyptic number.

It is an amenable number.

57653762164480 is an abundant number, since it is smaller than the sum of its proper divisors (80445015023192).

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

57653762164480 is an equidigital number, since it uses as much as digits as its factorization.

57653762164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45042001712 (or 45042001698 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 64.

It can be divided in two parts, 5765376 and 2164480, that added together give a square (7929856 = 2816²).

The spelling of 57653762164480 in words is "fifty-seven trillion, six hundred fifty-three billion, seven hundred sixty-two million, one hundred sixty-four thousand, four hundred eighty".