93161618971200 has 2016 divisors, whose sum is σ = 398826355479552. Its totient is φ = 20400242688000.

The previous prime is 93161618971139. The next prime is 93161618971241. The reversal of 93161618971200 is 217981616139.

93161618971200 is a `hidden beast` number, since 9 + 3 + 1 + 6 + 1 + 618 + 9 + 7 + 12 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4242128220 + ... + 4242150180.

It is an arithmetic number, because the mean of its divisors is an integer number (197830533472).

Almost surely, 2^{93161618971200} is an apocalyptic number.

93161618971200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93161618971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199413177739776).

93161618971200 is an abundant number, since it is smaller than the sum of its proper divisors (305664736508352).

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

93161618971200 is a wasteful number, since it uses less digits than its factorization.

93161618971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22093 (or 22075 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 93161618971200 in words is "ninety-three trillion, one hundred sixty-one billion, six hundred eighteen million, nine hundred seventy-one thousand, two hundred".