86631058752 has 672 divisors, whose sum is σ = 294316830720. Its totient is φ = 21989560320.

The previous prime is 86631058729. The next prime is 86631058757. The reversal of 86631058752 is 25785013668.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 86631058695 and 86631058704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86631058757) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 661305727 + ... + 661305857.

Almost surely, 2^86631058752 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 86631058752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147158415360).

86631058752 is an abundant number, since it is smaller than the sum of its proper divisors (207685771968).

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

86631058752 is a wasteful number, since it uses less digits than its factorization.

86631058752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 86631058752 in words is "eighty-six billion, six hundred thirty-one million, fifty-eight thousand, seven hundred fifty-two".