86513003016 has 192 divisors, whose sum is σ = 241570560000. Its totient is φ = 25795186560.

The previous prime is 86513002997. The next prime is 86513003021. The reversal of 86513003016 is 61030031568.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100713195 + ... + 100714053.

It is an arithmetic number, because the mean of its divisors is an integer number (1258180000).

Almost surely, 2^86513003016 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 86513003016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120785280000).

86513003016 is an abundant number, since it is smaller than the sum of its proper divisors (155057556984).

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

86513003016 is a wasteful number, since it uses less digits than its factorization.

86513003016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 86513003016 in words is "eighty-six billion, five hundred thirteen million, three thousand, sixteen".