93820681888992 has 72 divisors (see below), whose sum is σ = 268293081387240. Its totient is φ = 31098847983360.

The previous prime is 93820681888963. The next prime is 93820681889017. The reversal of 93820681888992 is 29988818602839.

It is a happy number.

93820681888992 is a `hidden beast` number, since 9 + 382 + 0 + 6 + 81 + 88 + 89 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 909910059 + ... + 910013162.

It is an arithmetic number, because the mean of its divisors is an integer number (3726292797045).

Almost surely, 2^{93820681888992} is an apocalyptic number.

It is an amenable number.

93820681888992 is an abundant number, since it is smaller than the sum of its proper divisors (174472399498248).

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

93820681888992 is a wasteful number, since it uses less digits than its factorization.

93820681888992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819923416 (or 1819923405 counting only the distinct ones).

The product of its (nonzero) digits is 1719926784, while the sum is 81.

The spelling of 93820681888992 in words is "ninety-three trillion, eight hundred twenty billion, six hundred eighty-one million, eight hundred eighty-eight thousand, nine hundred ninety-two".