86500792000 has 448 divisors, whose sum is σ = 257448222720. Its totient is φ = 28148736000.

The previous prime is 86500791961. The next prime is 86500792003. The reversal of 86500792000 is 29700568.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (86500792003) 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, 307831860 + ... + 307832140.

Almost surely, 2^86500792000 is an apocalyptic number.

86500792000 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 86500792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128724111360).

86500792000 is an abundant number, since it is smaller than the sum of its proper divisors (170947430720).

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

86500792000 is a wasteful number, since it uses less digits than its factorization.

86500792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 86500792000 in words is "eighty-six billion, five hundred million, seven hundred ninety-two thousand".