85127557464 has 48 divisors (see below), whose sum is σ = 238503938400. Its totient is φ = 27397374144.

The previous prime is 85127557441. The next prime is 85127557507. The reversal of 85127557464 is 46475572158.

It is a happy number.

85127557464 is a `hidden beast` number, since 8 + 5 + 1 + 2 + 7 + 5 + 574 + 64 = 666.

It is a super-2 number, since 2×85127557464² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 85127557464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20382864 + ... + 20387039.

It is an arithmetic number, because the mean of its divisors is an integer number (4968832050).

Almost surely, 2^85127557464 is an apocalyptic number.

It is an amenable number.

85127557464 is an abundant number, since it is smaller than the sum of its proper divisors (153376380936).

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

85127557464 is a wasteful number, since it uses less digits than its factorization.

85127557464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40769944 (or 40769937 counting only the distinct ones).

The product of its digits is 9408000, while the sum is 54.

The spelling of 85127557464 in words is "eighty-five billion, one hundred twenty-seven million, five hundred fifty-seven thousand, four hundred sixty-four".