86138183165760 has 336 divisors, whose sum is σ = 331949472296832. Its totient is φ = 20317605580800.

The previous prime is 86138183165731. The next prime is 86138183165773. The reversal of 86138183165760 is 6756138183168.

86138183165760 is a `hidden beast` number, since 8 + 6 + 1 + 38 + 18 + 3 + 16 + 576 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35571196 + ... + 37915515.

Almost surely, 2^{86138183165760} is an apocalyptic number.

86138183165760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86138183165760 is an abundant number, since it is smaller than the sum of its proper divisors (245811289131072).

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

86138183165760 is a wasteful number, since it uses less digits than its factorization.

86138183165760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73486782 (or 73486769 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 86138183165760 in words is "eighty-six trillion, one hundred thirty-eight billion, one hundred eighty-three million, one hundred sixty-five thousand, seven hundred sixty".