86918397995520 has 5760 divisors, whose sum is σ = 420528219471360. Its totient is φ = 16717688340480.

The previous prime is 86918397995519. The next prime is 86918397995531. The reversal of 86918397995520 is 2559979381968.

86918397995520 is a `hidden beast` number, since 8 + 6 + 9 + 1 + 83 + 9 + 7 + 9 + 9 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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 86918397995520.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1190662986204 + ... + 1190662986276.

It is an arithmetic number, because the mean of its divisors is an integer number (73008371436).

Almost surely, 2^{86918397995520} is an apocalyptic number.

86918397995520 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 86918397995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210264109735680).

86918397995520 is an abundant number, since it is smaller than the sum of its proper divisors (333609821475840).

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

86918397995520 is an equidigital number, since it uses as much as digits as its factorization.

86918397995520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2645395200, while the sum is 81.

The spelling of 86918397995520 in words is "eighty-six trillion, nine hundred eighteen billion, three hundred ninety-seven million, nine hundred ninety-five thousand, five hundred twenty".