86583692664 has 1152 divisors, whose sum is σ = 330237388800. Its totient is φ = 20849633280.

The previous prime is 86583692651. The next prime is 86583692719. The reversal of 86583692664 is 46629638568.

86583692664 is a `hidden beast` number, since 8 + 6 + 5 + 8 + 369 + 266 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2013574227 + ... + 2013574269.

It is an arithmetic number, because the mean of its divisors is an integer number (286664400).

Almost surely, 2^86583692664 is an apocalyptic number.

86583692664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86583692664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165118694400).

86583692664 is an abundant number, since it is smaller than the sum of its proper divisors (243653696136).

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

86583692664 is a wasteful number, since it uses less digits than its factorization.

86583692664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 122 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 86583692664 in words is "eighty-six billion, five hundred eighty-three million, six hundred ninety-two thousand, six hundred sixty-four".