86350711296 has 320 divisors, whose sum is σ = 254605418496. Its totient is φ = 25911705600.

The previous prime is 86350711267. The next prime is 86350711303. The reversal of 86350711296 is 69211705368.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40520151 + ... + 40522281.

Almost surely, 2^86350711296 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 86350711296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127302709248).

86350711296 is an abundant number, since it is smaller than the sum of its proper divisors (168254707200).

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

86350711296 is a wasteful number, since it uses less digits than its factorization.

86350711296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 86350711296 in words is "eighty-six billion, three hundred fifty million, seven hundred eleven thousand, two hundred ninety-six".