57648007168 has 48 divisors (see below), whose sum is σ = 117720570240. Its totient is φ = 28210679808.

The previous prime is 57648007133. The next prime is 57648007169. The reversal of 57648007168 is 86170084675.

It is not an unprimeable number, because it can be changed into a prime (57648007169) 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 3 ways as a sum of consecutive naturals, for example, 203196 + ... + 395707.

It is an arithmetic number, because the mean of its divisors is an integer number (2452511880).

Almost surely, 2^57648007168 is an apocalyptic number.

It is an amenable number.

57648007168 is an abundant number, since it is smaller than the sum of its proper divisors (60072563072).

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

57648007168 is an equidigital number, since it uses as much as digits as its factorization.

57648007168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598972 (or 598952 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 57648007168 in words is "fifty-seven billion, six hundred forty-eight million, seven thousand, one hundred sixty-eight".