86894852640 has 192 divisors, whose sum is σ = 290268873216. Its totient is φ = 21775122432.

The previous prime is 86894852617. The next prime is 86894852669. The reversal of 86894852640 is 4625849868.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5483769 + ... + 5499591.

It is an arithmetic number, because the mean of its divisors is an integer number (1511817048).

Almost surely, 2^86894852640 is an apocalyptic number.

86894852640 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 86894852640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145134436608).

86894852640 is an abundant number, since it is smaller than the sum of its proper divisors (203374020576).

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

86894852640 is a wasteful number, since it uses less digits than its factorization.

86894852640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16531 (or 16523 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 86894852640 in words is "eighty-six billion, eight hundred ninety-four million, eight hundred fifty-two thousand, six hundred forty".