86855307264 has 312 divisors, whose sum is σ = 283864936992. Its totient is φ = 26316472320.

The previous prime is 86855307233. The next prime is 86855307293. The reversal of 86855307264 is 46270355868.

86855307264 is a `hidden beast` number, since 8 + 6 + 85 + 530 + 7 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 86855307264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10944642 + ... + 10952574.

It is an arithmetic number, because the mean of its divisors is an integer number (909823516).

Almost surely, 2^86855307264 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 86855307264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141932468496).

86855307264 is an abundant number, since it is smaller than the sum of its proper divisors (197009629728).

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

86855307264 is an equidigital number, since it uses as much as digits as its factorization.

86855307264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7983 (or 7949 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 86855307264 in words is "eighty-six billion, eight hundred fifty-five million, three hundred seven thousand, two hundred sixty-four".