86854590320 has 80 divisors (see below), whose sum is σ = 207500760768. Its totient is φ = 33785579520.

The previous prime is 86854590271. The next prime is 86854590341. The reversal of 86854590320 is 2309545868.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6834212 + ... + 6846908.

Almost surely, 2^86854590320 is an apocalyptic number.

86854590320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86854590320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103750380384).

86854590320 is an abundant number, since it is smaller than the sum of its proper divisors (120646170448).

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

86854590320 is a wasteful number, since it uses less digits than its factorization.

86854590320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15058 (or 15052 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 50.

The spelling of 86854590320 in words is "eighty-six billion, eight hundred fifty-four million, five hundred ninety thousand, three hundred twenty".