75879497857 has 16 divisors (see below), whose sum is σ = 76927665600. Its totient is φ = 74837822400.

The previous prime is 75879497821. The next prime is 75879497887.

75879497857 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-75879497857 is a prime.

It is a Duffinian number.

Its product of digits (1244678400) is a multiple of the sum of its prime divisors (3456).

It is not an unprimeable number, because it can be changed into a prime (75879497887) 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 15 ways as a sum of consecutive naturals, for example, 34821994 + ... + 34824172.

It is an arithmetic number, because the mean of its divisors is an integer number (4807979100).

Almost surely, 2^75879497857 is an apocalyptic number.

It is an amenable number.

75879497857 is a deficient number, since it is larger than the sum of its proper divisors (1048167743).

75879497857 is a wasteful number, since it uses less digits than its factorization.

75879497857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456.

The product of its digits is 1244678400, while the sum is 76.

The spelling of 75879497857 in words is "seventy-five billion, eight hundred seventy-nine million, four hundred ninety-seven thousand, eight hundred fifty-seven".