86057842372659 has 48 divisors (see below), whose sum is σ = 126420905520000. Its totient is φ = 56403129568896.

The previous prime is 86057842372639. The next prime is 86057842372693. The reversal of 86057842372659 is 95627324875068.

86057842372659 is a `hidden beast` number, since 8 + 6 + 0 + 5 + 78 + 423 + 72 + 65 + 9 = 666.

It is not a de Polignac number, because 86057842372659 - 2⁷ = 86057842372531 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86057842372639) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1264425372 + ... + 1264493430.

It is an arithmetic number, because the mean of its divisors is an integer number (2633768865000).

Almost surely, 2^{86057842372659} is an apocalyptic number.

86057842372659 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

86057842372659 is a deficient number, since it is larger than the sum of its proper divisors (40363063147341).

86057842372659 is a wasteful number, since it uses less digits than its factorization.

86057842372659 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77152 (or 77149 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 86057842372659 in words is "eighty-six trillion, fifty-seven billion, eight hundred forty-two million, three hundred seventy-two thousand, six hundred fifty-nine".