85977417191296 has 64 divisors (see below), whose sum is σ = 171475581879360. Its totient is φ = 42940418918400.

The previous prime is 85977417191257. The next prime is 85977417191353. The reversal of 85977417191296 is 69219171477958.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×85977417191296² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1198405986 + ... + 1198477726.

It is an arithmetic number, because the mean of its divisors is an integer number (2679305966865).

Almost surely, 2^{85977417191296} is an apocalyptic number.

It is an amenable number.

85977417191296 is a deficient number, since it is larger than the sum of its proper divisors (85498164688064).

85977417191296 is an equidigital number, since it uses as much as digits as its factorization.

85977417191296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82143 (or 82131 counting only the distinct ones).

The product of its digits is 480090240, while the sum is 76.

The spelling of 85977417191296 in words is "eighty-five trillion, nine hundred seventy-seven billion, four hundred seventeen million, one hundred ninety-one thousand, two hundred ninety-six".