86382776160 has 96 divisors (see below), whose sum is σ = 302339731680. Its totient is φ = 23035405824.

The previous prime is 86382776131. The next prime is 86382776191. The reversal of 86382776160 is 6167728368.

86382776160 is a `hidden beast` number, since 86 + 382 + 77 + 61 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 86382776097 and 86382776106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9993687 + ... + 10002326.

It is an arithmetic number, because the mean of its divisors is an integer number (3149372205).

Almost surely, 2^86382776160 is an apocalyptic number.

86382776160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86382776160 is an abundant number, since it is smaller than the sum of its proper divisors (215956955520).

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

86382776160 is a wasteful number, since it uses less digits than its factorization.

86382776160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19996037 (or 19996023 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 86382776160 in words is "eighty-six billion, three hundred eighty-two million, seven hundred seventy-six thousand, one hundred sixty".