93972935168 has 80 divisors (see below), whose sum is σ = 214715424000. Its totient is φ = 40249737216.

The previous prime is 93972935143. The next prime is 93972935209. The reversal of 93972935168 is 86153927939.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 93972935168.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6705833 + ... + 6719831.

It is an arithmetic number, because the mean of its divisors is an integer number (2683942800).

Almost surely, 2^93972935168 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 93972935168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107357712000).

93972935168 is an abundant number, since it is smaller than the sum of its proper divisors (120742488832).

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

93972935168 is a wasteful number, since it uses less digits than its factorization.

93972935168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15897 (or 15881 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 62.

The spelling of 93972935168 in words is "ninety-three billion, nine hundred seventy-two million, nine hundred thirty-five thousand, one hundred sixty-eight".