86139607584000 has 576 divisors, whose sum is σ = 302862307587840. Its totient is φ = 21662665113600.

The previous prime is 86139607583989. The next prime is 86139607584001. The reversal of 86139607584000 is 48570693168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86139607584001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119352222 + ... + 120071778.

It is an arithmetic number, because the mean of its divisors is an integer number (525802617340).

Almost surely, 2^{86139607584000} is an apocalyptic number.

86139607584000 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 86139607584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151431153793920).

86139607584000 is an abundant number, since it is smaller than the sum of its proper divisors (216722700003840).

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

86139607584000 is a wasteful number, since it uses less digits than its factorization.

86139607584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719663 (or 719639 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 86139607584000 in words is "eighty-six trillion, one hundred thirty-nine billion, six hundred seven million, five hundred eighty-four thousand".