86657563368 has 128 divisors (see below), whose sum is σ = 246141504000. Its totient is φ = 28236257280.

The previous prime is 86657563337. The next prime is 86657563411. The reversal of 86657563368 is 86336575668.

86657563368 is a `hidden beast` number, since 8 + 6 + 6 + 5 + 7 + 563 + 3 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8939068 + ... + 8948756.

It is an arithmetic number, because the mean of its divisors is an integer number (1922980500).

Almost surely, 2^86657563368 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 86657563368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123070752000).

86657563368 is an abundant number, since it is smaller than the sum of its proper divisors (159483940632).

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

86657563368 is a wasteful number, since it uses less digits than its factorization.

86657563368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10632 (or 10622 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 86657563368 in words is "eighty-six billion, six hundred fifty-seven million, five hundred sixty-three thousand, three hundred sixty-eight".