86624151516 has 192 divisors, whose sum is σ = 259508300800. Its totient is φ = 24477043968.

The previous prime is 86624151479. The next prime is 86624151527. The reversal of 86624151516 is 61515142668.

86624151516 is a `hidden beast` number, since 8 + 6 + 624 + 1 + 5 + 1 + 5 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27178875 + ... + 27182061.

Almost surely, 2^86624151516 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 86624151516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129754150400).

86624151516 is an abundant number, since it is smaller than the sum of its proper divisors (172884149284).

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

86624151516 is a wasteful number, since it uses less digits than its factorization.

86624151516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3593 (or 3585 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 86624151516 in words is "eighty-six billion, six hundred twenty-four million, one hundred fifty-one thousand, five hundred sixteen".