86068976620032 has 1120 divisors, whose sum is σ = 297507269030400. Its totient is φ = 24355883188224.

The previous prime is 86068976620027. The next prime is 86068976620087. The reversal of 86068976620032 is 23002667986068.

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 111 ways as a sum of consecutive naturals, for example, 210437595444 + ... + 210437595852.

Almost surely, 2^{86068976620032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86068976620032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148753634515200).

86068976620032 is an abundant number, since it is smaller than the sum of its proper divisors (211438292410368).

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

86068976620032 is an equidigital number, since it uses as much as digits as its factorization.

86068976620032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 86068976620032 in words is "eighty-six trillion, sixty-eight billion, nine hundred seventy-six million, six hundred twenty thousand, thirty-two".