86984363704320 has 512 divisors, whose sum is σ = 309450544862400. Its totient is φ = 23182517993472.

The previous prime is 86984363704319. The next prime is 86984363704363. The reversal of 86984363704320 is 2340736348968.

86984363704320 is a `hidden beast` number, since 8 + 6 + 98 + 43 + 6 + 3 + 70 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9524178474 + ... + 9524187606.

Almost surely, 2^{86984363704320} is an apocalyptic number.

86984363704320 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 86984363704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154725272431200).

86984363704320 is an abundant number, since it is smaller than the sum of its proper divisors (222466181158080).

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

86984363704320 is an equidigital number, since it uses as much as digits as its factorization.

86984363704320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11330 (or 11296 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 86984363704320 in words is "eighty-six trillion, nine hundred eighty-four billion, three hundred sixty-three million, seven hundred four thousand, three hundred twenty".