57993206817 has 192 divisors, whose sum is σ = 106965196800. Its totient is φ = 27590492160.

The previous prime is 57993206813. The next prime is 57993206851. The reversal of 57993206817 is 71860239975.

It is not a de Polignac number, because 57993206817 - 2² = 57993206813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (57993206813) 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 191 ways as a sum of consecutive naturals, for example, 75413409 + ... + 75414177.

It is an arithmetic number, because the mean of its divisors is an integer number (557110400).

Almost surely, 2^57993206817 is an apocalyptic number.

57993206817 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

57993206817 is a deficient number, since it is larger than the sum of its proper divisors (48971989983).

57993206817 is a wasteful number, since it uses less digits than its factorization.

57993206817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 57.

The spelling of 57993206817 in words is "fifty-seven billion, nine hundred ninety-three million, two hundred six thousand, eight hundred seventeen".