86907572286024 has 256 divisors, whose sum is σ = 279290246400000. Its totient is φ = 21936976367616.

The previous prime is 86907572285969. The next prime is 86907572286049. The reversal of 86907572286024 is 42068227570968.

It is a super-2 number, since 2×86907572286024² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1431874 + ... + 13261425.

It is an arithmetic number, because the mean of its divisors is an integer number (1090977525000).

Almost surely, 2^{86907572286024} is an apocalyptic number.

86907572286024 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86907572286024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139645123200000).

86907572286024 is an abundant number, since it is smaller than the sum of its proper divisors (192382674113976).

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

86907572286024 is a wasteful number, since it uses less digits than its factorization.

86907572286024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14693460 (or 14693456 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 66.

The spelling of 86907572286024 in words is "eighty-six trillion, nine hundred seven billion, five hundred seventy-two million, two hundred eighty-six thousand, twenty-four".