86392768000 has 640 divisors, whose sum is σ = 275032682496. Its totient is φ = 26284032000.

The previous prime is 86392767961. The next prime is 86392768019. The reversal of 86392768000 is 86729368.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231615814 + ... + 231616186.

Almost surely, 2^86392768000 is an apocalyptic number.

86392768000 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 86392768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137516341248).

86392768000 is an abundant number, since it is smaller than the sum of its proper divisors (188639914496).

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

86392768000 is a wasteful number, since it uses less digits than its factorization.

86392768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 86392768000 in words is "eighty-six billion, three hundred ninety-two million, seven hundred sixty-eight thousand".