86873938560 has 576 divisors, whose sum is σ = 330103748520. Its totient is φ = 21785739264.

The previous prime is 86873938531. The next prime is 86873938561. The reversal of 86873938560 is 6583937868.

86873938560 is a `hidden beast` number, since 8 + 6 + 8 + 7 + 39 + 38 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73718766144 + 13155172416 = 271512^2 + 114696^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (86873938561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71383072 + ... + 71384288.

Almost surely, 2^86873938560 is an apocalyptic number.

86873938560 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 86873938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165051874260).

86873938560 is an abundant number, since it is smaller than the sum of its proper divisors (243229809960).

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

86873938560 is an equidigital number, since it uses as much as digits as its factorization.

86873938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 86873938560 in words is "eighty-six billion, eight hundred seventy-three million, nine hundred thirty-eight thousand, five hundred sixty".