86608760832 has 312 divisors, whose sum is σ = 275083922880. Its totient is φ = 26036797440.

The previous prime is 86608760807. The next prime is 86608760851. The reversal of 86608760832 is 23806780668.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55553269 + ... + 55554827.

It is an arithmetic number, because the mean of its divisors is an integer number (881679240).

Almost surely, 2^86608760832 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 86608760832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137541961440).

86608760832 is an abundant number, since it is smaller than the sum of its proper divisors (188475162048).

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

86608760832 is a wasteful number, since it uses less digits than its factorization.

86608760832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 86608760832 in words is "eighty-six billion, six hundred eight million, seven hundred sixty thousand, eight hundred thirty-two".