86955341864832 has 1536 divisors, whose sum is σ = 324073975680000. Its totient is φ = 23115927453696.

The previous prime is 86955341864827. The next prime is 86955341864887. The reversal of 86955341864832 is 23846814355968.

86955341864832 is a `hidden beast` number, since 8 + 6 + 9 + 5 + 534 + 1 + 8 + 6 + 4 + 83 + 2 = 666.

86955341864832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×86955341864832² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16141698043 + ... + 16141703429.

It is an arithmetic number, because the mean of its divisors is an integer number (210985661250).

Almost surely, 2^{86955341864832} 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 86955341864832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162036987840000).

86955341864832 is an abundant number, since it is smaller than the sum of its proper divisors (237118633815168).

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

86955341864832 is an equidigital number, since it uses as much as digits as its factorization.

86955341864832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5543 (or 5505 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 72.

The spelling of 86955341864832 in words is "eighty-six trillion, nine hundred fifty-five billion, three hundred forty-one million, eight hundred sixty-four thousand, eight hundred thirty-two".