86188700956320 has 288 divisors, whose sum is σ = 294621569790912. Its totient is φ = 22944393179136.

The previous prime is 86188700956273. The next prime is 86188700956331. The reversal of 86188700956320 is 2365900788168.

86188700956320 is a `hidden beast` number, since 8 + 61 + 8 + 8 + 7 + 0 + 0 + 9 + 563 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5416236684 + ... + 5416252596.

It is an arithmetic number, because the mean of its divisors is an integer number (1022991561774).

Almost surely, 2^{86188700956320} is an apocalyptic number.

86188700956320 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 86188700956320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147310784895456).

86188700956320 is an abundant number, since it is smaller than the sum of its proper divisors (208432868834592).

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

86188700956320 is a wasteful number, since it uses less digits than its factorization.

86188700956320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22124 (or 22113 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 86188700956320 in words is "eighty-six trillion, one hundred eighty-eight billion, seven hundred million, nine hundred fifty-six thousand, three hundred twenty".