86985228096 has 336 divisors, whose sum is σ = 278740971600. Its totient is φ = 25751126016.

The previous prime is 86985228079. The next prime is 86985228133. The reversal of 86985228096 is 69082258968.

It can be written as a sum of positive squares in 8 ways, for example, as 3279165696 + 83706062400 = 57264^2 + 289320^2 .

It is a congruent number.

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, 86208840 + ... + 86209848.

It is an arithmetic number, because the mean of its divisors is an integer number (829586225).

Almost surely, 2^86985228096 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 86985228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139370485800).

86985228096 is an abundant number, since it is smaller than the sum of its proper divisors (191755743504).

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

86985228096 is a wasteful number, since it uses less digits than its factorization.

86985228096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 86985228096 in words is "eighty-six billion, nine hundred eighty-five million, two hundred twenty-eight thousand, ninety-six".