86059914912 has 192 divisors, whose sum is σ = 269417352960. Its totient is φ = 26629005312.

The previous prime is 86059914907. The next prime is 86059914931. The reversal of 86059914912 is 21941995068.

86059914912 is a `hidden beast` number, since 8 + 6 + 0 + 599 + 1 + 49 + 1 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1032093 + ... + 1112355.

It is an arithmetic number, because the mean of its divisors is an integer number (1403215380).

Almost surely, 2^86059914912 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 86059914912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134708676480).

86059914912 is an abundant number, since it is smaller than the sum of its proper divisors (183357438048).

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

86059914912 is a wasteful number, since it uses less digits than its factorization.

86059914912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80372 (or 80358 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 86059914912 in words is "eighty-six billion, fifty-nine million, nine hundred fourteen thousand, nine hundred twelve".