86956032000000 has 504 divisors, whose sum is σ = 289869103846728. Its totient is φ = 23186636800000.

The previous prime is 86956031999987. The next prime is 86956032000037. The reversal of 86956032000000 is 23065968.

It is a super-2 number, since 2×86956032000000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6143992924 + ... + 6144007076.

It is an arithmetic number, because the mean of its divisors is an integer number (575137110807).

Almost surely, 2^{86956032000000} is an apocalyptic number.

86956032000000 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 86956032000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144934551923364).

86956032000000 is an abundant number, since it is smaller than the sum of its proper divisors (202913071846728).

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

86956032000000 is an frugal number, since it uses more digits than its factorization.

86956032000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14220 (or 14163 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

Adding to 86956032000000 its reverse (23065968), we get a palindrome (86956055065968).

The spelling of 86956032000000 in words is "eighty-six trillion, nine hundred fifty-six billion, thirty-two million", and thus it is an aban number.