86351267566080 has 1920 divisors, whose sum is σ = 346130009761536. Its totient is φ = 20454388531200.

The previous prime is 86351267566051. The next prime is 86351267566087. The reversal of 86351267566080 is 8066576215368.

86351267566080 is a `hidden beast` number, since 8 + 6 + 3 + 5 + 1 + 2 + 67 + 566 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a junction number, because it is equal to n+sod(n) for n = 86351267565999 and 86351267566017.

It is not an unprimeable number, because it can be changed into a prime (86351267566087) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 165741396220 + ... + 165741396740.

Almost surely, 2^{86351267566080} is an apocalyptic number.

86351267566080 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 86351267566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173065004880768).

86351267566080 is an abundant number, since it is smaller than the sum of its proper divisors (259778742195456).

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

86351267566080 is a wasteful number, since it uses less digits than its factorization.

86351267566080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 86351267566080 in words is "eighty-six trillion, three hundred fifty-one billion, two hundred sixty-seven million, five hundred sixty-six thousand, eighty".