86816977632 has 192 divisors, whose sum is σ = 315698342400. Its totient is φ = 22549847040.

The previous prime is 86816977631. The next prime is 86816977649. The reversal of 86816977632 is 23677961868.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 86816977632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86816977631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585957 + ... + 719012.

It is an arithmetic number, because the mean of its divisors is an integer number (1644262200).

Almost surely, 2^86816977632 is an apocalyptic number.

It is an amenable number.

86816977632 is an abundant number, since it is smaller than the sum of its proper divisors (228881364768).

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

86816977632 is a wasteful number, since it uses less digits than its factorization.

86816977632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305006 (or 1304992 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 86816977632 in words is "eighty-six billion, eight hundred sixteen million, nine hundred seventy-seven thousand, six hundred thirty-two".