86817000576 has 128 divisors (see below), whose sum is σ = 237351029760. Its totient is φ = 28104975360.

The previous prime is 86817000541. The next prime is 86817000583. The reversal of 86817000576 is 67500071868.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1802925 + ... + 1850451.

It is an arithmetic number, because the mean of its divisors is an integer number (1854304920).

Almost surely, 2^86817000576 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 86817000576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118675514880).

86817000576 is an abundant number, since it is smaller than the sum of its proper divisors (150534029184).

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

86817000576 is a wasteful number, since it uses less digits than its factorization.

86817000576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47682 (or 47670 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 86817000576 in words is "eighty-six billion, eight hundred seventeen million, five hundred seventy-six", and thus it is an aban number.