86179537267488 has 576 divisors, whose sum is σ = 287462678630400. Its totient is φ = 23979420942336.

The previous prime is 86179537267457. The next prime is 86179537267493. The reversal of 86179537267488 is 88476273597168.

86179537267488 is a `hidden beast` number, since 8 + 6 + 1 + 7 + 9 + 5 + 3 + 72 + 67 + 488 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41372796495 + ... + 41372798577.

It is an arithmetic number, because the mean of its divisors is an integer number (499067150400).

Almost surely, 2^{86179537267488} 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 86179537267488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143731339315200).

86179537267488 is an abundant number, since it is smaller than the sum of its proper divisors (201283141362912).

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

86179537267488 is a wasteful number, since it uses less digits than its factorization.

86179537267488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109 (or 4098 counting only the distinct ones).

The product of its digits is 6827950080, while the sum is 81.

The spelling of 86179537267488 in words is "eighty-six trillion, one hundred seventy-nine billion, five hundred thirty-seven million, two hundred sixty-seven thousand, four hundred eighty-eight".