86688926149824 has 224 divisors, whose sum is σ = 260791529053440. Its totient is φ = 28222633764864.

The previous prime is 86688926149811. The next prime is 86688926149879. The reversal of 86688926149824 is 42894162988668.

86688926149824 is a `hidden beast` number, since 8 + 6 + 6 + 8 + 89 + 26 + 1 + 498 + 24 = 666.

86688926149824 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 2216691679 + ... + 2216730785.

It is an arithmetic number, because the mean of its divisors is an integer number (1164247897560).

Almost surely, 2^{86688926149824} 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 86688926149824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130395764526720).

86688926149824 is an abundant number, since it is smaller than the sum of its proper divisors (174102602903616).

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

86688926149824 is a wasteful number, since it uses less digits than its factorization.

86688926149824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69004 (or 68988 counting only the distinct ones).

The product of its digits is 4586471424, while the sum is 81.

The spelling of 86688926149824 in words is "eighty-six trillion, six hundred eighty-eight billion, nine hundred twenty-six million, one hundred forty-nine thousand, eight hundred twenty-four".