86972921856000 has 600 divisors, whose sum is σ = 324277314256896. Its totient is φ = 23192734924800.

The previous prime is 86972921855983. The next prime is 86972921856061. The reversal of 86972921856000 is 65812927968.

86972921856000 is a `hidden beast` number, since 8 + 6 + 9 + 7 + 2 + 9 + 2 + 18 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 165625857 + ... + 166150143.

Almost surely, 2^{86972921856000} is an apocalyptic number.

86972921856000 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 86972921856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162138657128448).

86972921856000 is an abundant number, since it is smaller than the sum of its proper divisors (237304392400896).

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

86972921856000 is an frugal number, since it uses more digits than its factorization.

86972921856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524342 (or 524297 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 86972921856000 in words is "eighty-six trillion, nine hundred seventy-two billion, nine hundred twenty-one million, eight hundred fifty-six thousand".