85815047664 has 120 divisors (see below), whose sum is σ = 260958297600. Its totient is φ = 26225285760.

The previous prime is 85815047639. The next prime is 85815047707. The reversal of 85815047664 is 46674051858.

85815047664 is a `hidden beast` number, since 8 + 5 + 8 + 1 + 504 + 76 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85815047664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421074 + ... + 590705.

It is an arithmetic number, because the mean of its divisors is an integer number (2174652480).

Almost surely, 2^85815047664 is an apocalyptic number.

It is an amenable number.

85815047664 is an abundant number, since it is smaller than the sum of its proper divisors (175143249936).

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

85815047664 is a wasteful number, since it uses less digits than its factorization.

85815047664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011843 (or 1011834 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 85815047664 in words is "eighty-five billion, eight hundred fifteen million, forty-seven thousand, six hundred sixty-four".