86631525161720 has 256 divisors, whose sum is σ = 256581634867200. Its totient is φ = 25503584832000.

The previous prime is 86631525161711. The next prime is 86631525161737. The reversal of 86631525161720 is 2716152513668.

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 63 ways as a sum of consecutive naturals, for example, 17133905 + ... + 21606335.

It is an arithmetic number, because the mean of its divisors is an integer number (1002272011200).

Almost surely, 2^{86631525161720} 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 86631525161720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128290817433600).

86631525161720 is an abundant number, since it is smaller than the sum of its proper divisors (169950109705480).

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

86631525161720 is a wasteful number, since it uses less digits than its factorization.

86631525161720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4472810 (or 4472806 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 86631525161720 in words is "eighty-six trillion, six hundred thirty-one billion, five hundred twenty-five million, one hundred sixty-one thousand, seven hundred twenty".