57648168805680 has 120 divisors (see below), whose sum is σ = 193603384550160. Its totient is φ = 15372716567040.

The previous prime is 57648168805627. The next prime is 57648168805699. The reversal of 57648168805680 is 8650886184675.

57648168805680 is a `hidden beast` number, since 5 + 7 + 6 + 48 + 16 + 8 + 8 + 0 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×57648168805680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 57648168805599 and 57648168805608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112142035 + ... + 112654925.

It is an arithmetic number, because the mean of its divisors is an integer number (1613361537918).

Almost surely, 2^{57648168805680} is an apocalyptic number.

It is an amenable number.

57648168805680 is an abundant number, since it is smaller than the sum of its proper divisors (135955215744480).

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

57648168805680 is a wasteful number, since it uses less digits than its factorization.

57648168805680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669019 (or 669010 counting only the distinct ones).

The product of its (nonzero) digits is 619315200, while the sum is 72.

The spelling of 57648168805680 in words is "fifty-seven trillion, six hundred forty-eight billion, one hundred sixty-eight million, eight hundred five thousand, six hundred eighty".