86278576597920 has 480 divisors, whose sum is σ = 366305543049600. Its totient is φ = 18682879371264.

The previous prime is 86278576597897. The next prime is 86278576597949. The reversal of 86278576597920 is 2979567587268.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 86278576597920.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23303755 + ... + 26751114.

It is an arithmetic number, because the mean of its divisors is an integer number (763136548020).

Almost surely, 2^{86278576597920} is an apocalyptic number.

86278576597920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86278576597920 is an abundant number, since it is smaller than the sum of its proper divisors (280026966451680).

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

86278576597920 is a wasteful number, since it uses less digits than its factorization.

86278576597920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50054922 (or 50054905 counting only the distinct ones).

The product of its (nonzero) digits is 6401203200, while the sum is 81.

The spelling of 86278576597920 in words is "eighty-six trillion, two hundred seventy-eight billion, five hundred seventy-six million, five hundred ninety-seven thousand, nine hundred twenty".