86330844360 has 256 divisors, whose sum is σ = 290848320000. Its totient is φ = 22776560640.

The previous prime is 86330844307. The next prime is 86330844361. The reversal of 86330844360 is 6344803368.

86330844360 is a `hidden beast` number, since 8 + 633 + 0 + 8 + 4 + 4 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (86330844361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47148645 + ... + 47150475.

It is an arithmetic number, because the mean of its divisors is an integer number (1136126250).

Almost surely, 2^86330844360 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 86330844360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145424160000).

86330844360 is an abundant number, since it is smaller than the sum of its proper divisors (204517475640).

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

86330844360 is a wasteful number, since it uses less digits than its factorization.

86330844360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 86330844360 in words is "eighty-six billion, three hundred thirty million, eight hundred forty-four thousand, three hundred sixty".