86288500992 has 216 divisors, whose sum is σ = 251846570752. Its totient is φ = 26195558400.

The previous prime is 86288500981. The next prime is 86288500993. The reversal of 86288500992 is 29900588268.

It is not an unprimeable number, because it can be changed into a prime (86288500993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6874242 + ... + 6886782.

Almost surely, 2^86288500992 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 86288500992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125923285376).

86288500992 is an abundant number, since it is smaller than the sum of its proper divisors (165558069760).

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

86288500992 is a wasteful number, since it uses less digits than its factorization.

86288500992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12625 (or 12594 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 86288500992 in words is "eighty-six billion, two hundred eighty-eight million, five hundred thousand, nine hundred ninety-two".