86889656448 has 640 divisors, whose sum is σ = 304549217280. Its totient is φ = 24081463296.

The previous prime is 86889656443. The next prime is 86889656467. The reversal of 86889656448 is 84465698868.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (86889656443) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 520297261 + ... + 520297427.

It is an arithmetic number, because the mean of its divisors is an integer number (475858152).

Almost surely, 2^86889656448 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 86889656448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152274608640).

86889656448 is an abundant number, since it is smaller than the sum of its proper divisors (217659560832).

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

86889656448 is a wasteful number, since it uses less digits than its factorization.

86889656448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 353 counting only the distinct ones).

The product of its digits is 637009920, while the sum is 72.

The spelling of 86889656448 in words is "eighty-six billion, eight hundred eighty-nine million, six hundred fifty-six thousand, four hundred forty-eight".