57968077086975 has 24 divisors (see below), whose sum is σ = 104553331765632. Its totient is φ = 28105734344800.

The previous prime is 57968077086923. The next prime is 57968077086977.

It is a happy number.

57968077086975 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57968077086975 - 2¹² = 57968077082879 is a prime.

It is a super-2 number, since 2×57968077086975² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57968077086977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35132167107 + ... + 35132168756.

It is an arithmetic number, because the mean of its divisors is an integer number (4356388823568).

Almost surely, 2^{57968077086975} is an apocalyptic number.

57968077086975 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57968077086975 is a deficient number, since it is larger than the sum of its proper divisors (46585254678657).

57968077086975 is a wasteful number, since it uses less digits than its factorization.

57968077086975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70264335887 (or 70264335882 counting only the distinct ones).

The product of its (nonzero) digits is 11202105600, while the sum is 84.

The spelling of 57968077086975 in words is "fifty-seven trillion, nine hundred sixty-eight billion, seventy-seven million, eighty-six thousand, nine hundred seventy-five".