86826807216 has 240 divisors, whose sum is σ = 261089682048. Its totient is φ = 26840217600.

The previous prime is 86826807203. The next prime is 86826807239. The reversal of 86826807216 is 61270862868.

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, 55267711 + ... + 55269281.

Almost surely, 2^86826807216 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 86826807216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130544841024).

86826807216 is an abundant number, since it is smaller than the sum of its proper divisors (174262874832).

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

86826807216 is a wasteful number, since it uses less digits than its factorization.

86826807216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 86826807216 in words is "eighty-six billion, eight hundred twenty-six million, eight hundred seven thousand, two hundred sixteen".