86908370832000 has 384 divisors, whose sum is σ = 312814452899520. Its totient is φ = 23123233536000.

The previous prime is 86908370831957. The next prime is 86908370832067. The reversal of 86908370832000 is 23807380968.

86908370832000 is a `hidden beast` number, since 8 + 69 + 0 + 8 + 370 + 8 + 3 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 63110815 + ... + 64473185.

Almost surely, 2^{86908370832000} is an apocalyptic number.

86908370832000 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 86908370832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156407226449760).

86908370832000 is an abundant number, since it is smaller than the sum of its proper divisors (225906082067520).

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

86908370832000 is a wasteful number, since it uses less digits than its factorization.

86908370832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362849 (or 1362824 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 86908370832000 in words is "eighty-six trillion, nine hundred eight billion, three hundred seventy million, eight hundred thirty-two thousand".