86016261312 has 294 divisors, whose sum is σ = 270146750028. Its totient is φ = 27157711104.

The previous prime is 86016261301. The next prime is 86016261347. The reversal of 86016261312 is 21316261068.

It is a happy number.

86016261312 is a `hidden beast` number, since 8 + 6 + 0 + 1 + 626 + 13 + 12 = 666.

It is a super-2 number, since 2×86016261312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 16840263 + ... + 16845369.

Almost surely, 2^86016261312 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 86016261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135073375014).

86016261312 is an abundant number, since it is smaller than the sum of its proper divisors (184130488716).

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

86016261312 is an equidigital number, since it uses as much as digits as its factorization.

86016261312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 86016261312 in words is "eighty-six billion, sixteen million, two hundred sixty-one thousand, three hundred twelve".