75980608957 has 24 divisors (see below), whose sum is σ = 84450466296. Its totient is φ = 68302080000.

The previous prime is 75980608939. The next prime is 75980608973.

75980608957 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 45873500761 + 30107108196 = 214181^2 + 173514^2 .

It is not a de Polignac number, because 75980608957 - 2¹⁹ = 75980084669 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 (75980608157) 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, 10763173 + ... + 10770229.

It is an arithmetic number, because the mean of its divisors is an integer number (3518769429).

Almost surely, 2^75980608957 is an apocalyptic number.

It is an amenable number.

75980608957 is a deficient number, since it is larger than the sum of its proper divisors (8469857339).

75980608957 is a wasteful number, since it uses less digits than its factorization.

75980608957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8061 (or 8050 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 64.

The spelling of 75980608957 in words is "seventy-five billion, nine hundred eighty million, six hundred eight thousand, nine hundred fifty-seven".