86290300096 has 168 divisors, whose sum is σ = 231649930400. Its totient is φ = 31033221120.

The previous prime is 86290300087. The next prime is 86290300141. The reversal of 86290300096 is 69000309268.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643480 + ... + 765928.

Almost surely, 2^86290300096 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 86290300096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115824965200).

86290300096 is an abundant number, since it is smaller than the sum of its proper divisors (145359630304).

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

86290300096 is a wasteful number, since it uses less digits than its factorization.

86290300096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122503 (or 122482 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 86290300096 in words is "eighty-six billion, two hundred ninety million, three hundred thousand, ninety-six".