86966965008000 has 8192 divisors, whose sum is σ = 450845363404800. Its totient is φ = 16057958400000.

The previous prime is 86966965007981. The next prime is 86966965008097. The reversal of 86966965008000 is 80056966968.

86966965008000 is a `hidden beast` number, since 8 + 69 + 6 + 69 + 6 + 500 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 2121145487980 + ... + 2121145488020.

It is an arithmetic number, because the mean of its divisors is an integer number (55034834400).

Almost surely, 2^{86966965008000} is an apocalyptic number.

86966965008000 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 86966965008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225422681702400).

86966965008000 is an abundant number, since it is smaller than the sum of its proper divisors (363878398396800).

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

86966965008000 is a wasteful number, since it uses less digits than its factorization.

86966965008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 86966965008000 in words is "eighty-six trillion, nine hundred sixty-six billion, nine hundred sixty-five million, eight thousand".