86801715072 has 320 divisors, whose sum is σ = 262357349760. Its totient is φ = 28603860480.

The previous prime is 86801715043. The next prime is 86801715089. The reversal of 86801715072 is 27051710868.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 330044413 + ... + 330044675.

It is an arithmetic number, because the mean of its divisors is an integer number (819866718).

Almost surely, 2^86801715072 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 86801715072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131178674880).

86801715072 is an abundant number, since it is smaller than the sum of its proper divisors (175555634688).

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

86801715072 is an frugal number, since it uses more digits than its factorization.

86801715072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 86801715072 in words is "eighty-six billion, eight hundred one million, seven hundred fifteen thousand, seventy-two".