75985658957 has 16 divisors (see below), whose sum is σ = 82690561968. Its totient is φ = 69404428800.

The previous prime is 75985658953. The next prime is 75985658993.

75985658957 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 10845347881 + 65140311076 = 104141^2 + 255226^2 .

It is a cyclic number.

It is not a de Polignac number, because 75985658957 - 2² = 75985658953 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75985658951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2285183 + ... + 2318195.

It is an arithmetic number, because the mean of its divisors is an integer number (5168160123).

Almost surely, 2^75985658957 is an apocalyptic number.

It is an amenable number.

75985658957 is a deficient number, since it is larger than the sum of its proper divisors (6704903011).

75985658957 is a wasteful number, since it uses less digits than its factorization.

75985658957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34880.

The product of its digits is 952560000, while the sum is 74.

The spelling of 75985658957 in words is "seventy-five billion, nine hundred eighty-five million, six hundred fifty-eight thousand, nine hundred fifty-seven".