86213516256 has 288 divisors, whose sum is σ = 284857896960. Its totient is φ = 24224458752.

The previous prime is 86213516231. The next prime is 86213516293. The reversal of 86213516256 is 65261531268.

86213516256 is a `hidden beast` number, since 8 + 6 + 2 + 13 + 5 + 1 + 625 + 6 = 666.

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

It is a congruent number.

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, 70492861 + ... + 70494083.

It is an arithmetic number, because the mean of its divisors is an integer number (989089920).

Almost surely, 2^86213516256 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 86213516256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142428948480).

86213516256 is an abundant number, since it is smaller than the sum of its proper divisors (198644380704).

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

86213516256 is a wasteful number, since it uses less digits than its factorization.

86213516256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1787 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 86213516256 in words is "eighty-six billion, two hundred thirteen million, five hundred sixteen thousand, two hundred fifty-six".