86889572640 has 768 divisors, whose sum is σ = 349932441600. Its totient is φ = 19972915200.

The previous prime is 86889572573. The next prime is 86889572681. The reversal of 86889572640 is 4627598868.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50486980 + ... + 50488700.

It is an arithmetic number, because the mean of its divisors is an integer number (455641200).

Almost surely, 2^86889572640 is an apocalyptic number.

86889572640 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 86889572640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174966220800).

86889572640 is an abundant number, since it is smaller than the sum of its proper divisors (263042868960).

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

86889572640 is a wasteful number, since it uses less digits than its factorization.

86889572640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 86889572640 in words is "eighty-six billion, eight hundred eighty-nine million, five hundred seventy-two thousand, six hundred forty".