86638568544 has 192 divisors, whose sum is σ = 276017172480. Its totient is φ = 26220879360.

The previous prime is 86638568507. The next prime is 86638568567. The reversal of 86638568544 is 44586583668.

It is a happy number.

86638568544 is a `hidden beast` number, since 8 + 6 + 6 + 3 + 85 + 6 + 8 + 544 = 666.

It is a congruent number.

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, 8101569 + ... + 8112255.

It is an arithmetic number, because the mean of its divisors is an integer number (1437589440).

Almost surely, 2^86638568544 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 86638568544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138008586240).

86638568544 is an abundant number, since it is smaller than the sum of its proper divisors (189378603936).

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

86638568544 is a wasteful number, since it uses less digits than its factorization.

86638568544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11570 (or 11556 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 63.

The spelling of 86638568544 in words is "eighty-six billion, six hundred thirty-eight million, five hundred sixty-eight thousand, five hundred forty-four".