86933864448000 has 1824 divisors, whose sum is σ = 333572562206208. Its totient is φ = 21743271936000.

The previous prime is 86933864447971. The next prime is 86933864448047. The reversal of 86933864448000 is 84446833968.

86933864448000 is a `hidden beast` number, since 8 + 6 + 9 + 33 + 86 + 44 + 480 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 338264063872 + ... + 338264064128.

It is an arithmetic number, because the mean of its divisors is an integer number (182879694192).

Almost surely, 2^{86933864448000} is an apocalyptic number.

86933864448000 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 86933864448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166786281103104).

86933864448000 is an abundant number, since it is smaller than the sum of its proper divisors (246638697758208).

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

86933864448000 is an equidigital number, since it uses as much as digits as its factorization.

86933864448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 86933864448000 in words is "eighty-six trillion, nine hundred thirty-three billion, eight hundred sixty-four million, four hundred forty-eight thousand".