85979627257464 has 384 divisors, whose sum is σ = 274736481177600. Its totient is φ = 24107916349440.

The previous prime is 85979627257453. The next prime is 85979627257471. The reversal of 85979627257464 is 46475272697958.

85979627257464 is a `hidden beast` number, since 8 + 5 + 9 + 79 + 62 + 7 + 25 + 7 + 464 = 666.

It is a super-2 number, since 2×85979627257464² (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 95 ways as a sum of consecutive naturals, for example, 23610027 + ... + 27007269.

It is an arithmetic number, because the mean of its divisors is an integer number (715459586400).

Almost surely, 2^{85979627257464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85979627257464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137368240588800).

85979627257464 is an abundant number, since it is smaller than the sum of its proper divisors (188756853920136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85979627257464 is a wasteful number, since it uses less digits than its factorization.

85979627257464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397355 (or 3397348 counting only the distinct ones).

The product of its digits is 12802406400, while the sum is 81.

The spelling of 85979627257464 in words is "eighty-five trillion, nine hundred seventy-nine billion, six hundred twenty-seven million, two hundred fifty-seven thousand, four hundred sixty-four".