86500891680 has 288 divisors, whose sum is σ = 317708697600. Its totient is φ = 19725189120.

The previous prime is 86500891679. The next prime is 86500891717. The reversal of 86500891680 is 8619800568.

It is a super-2 number, since 2×86500891680² (a number of 23 digits) contains 22 as substring.

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, 10556385 + ... + 10564575.

It is an arithmetic number, because the mean of its divisors is an integer number (1103155200).

Almost surely, 2^86500891680 is an apocalyptic number.

86500891680 is a gapful number since it is divisible by the number (80) 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 86500891680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158854348800).

86500891680 is an abundant number, since it is smaller than the sum of its proper divisors (231207805920).

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

86500891680 is a wasteful number, since it uses less digits than its factorization.

86500891680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8672 (or 8657 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 86500891680 in words is "eighty-six billion, five hundred million, eight hundred ninety-one thousand, six hundred eighty".