75938877883957 has 16 divisors (see below), whose sum is σ = 82879814122560. Its totient is φ = 69004181372800.

The previous prime is 75938877883949. The next prime is 75938877883993.

75938877883957 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 75938877883957 - 2³ = 75938877883949 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 (75938877883357) 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, 258630243 + ... + 258923695.

It is an arithmetic number, because the mean of its divisors is an integer number (5179988382660).

Almost surely, 2^{75938877883957} is an apocalyptic number.

It is an amenable number.

75938877883957 is a deficient number, since it is larger than the sum of its proper divisors (6940936238603).

75938877883957 is a wasteful number, since it uses less digits than its factorization.

75938877883957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304004.

The product of its digits is 179233689600, while the sum is 94.

The spelling of 75938877883957 in words is "seventy-five trillion, nine hundred thirty-eight billion, eight hundred seventy-seven million, eight hundred eighty-three thousand, nine hundred fifty-seven".