93328996944960 has 1344 divisors, whose sum is σ = 387917851991040. Its totient is φ = 21059441786880.

The previous prime is 93328996944947. The next prime is 93328996944961. The reversal of 93328996944960 is 6944969982339.

93328996944960 is a `hidden beast` number, since 9 + 3 + 3 + 2 + 89 + 96 + 9 + 449 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 93328996944960.

It is not an unprimeable number, because it can be changed into a prime (93328996944961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17699408884 + ... + 17699414156.

It is an arithmetic number, because the mean of its divisors is an integer number (288629354160).

Almost surely, 2^{93328996944960} is an apocalyptic number.

93328996944960 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 93328996944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193958925995520).

93328996944960 is an abundant number, since it is smaller than the sum of its proper divisors (294588855046080).

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

93328996944960 is a wasteful number, since it uses less digits than its factorization.

93328996944960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5841 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 4897760256, while the sum is 81.

The spelling of 93328996944960 in words is "ninety-three trillion, three hundred twenty-eight billion, nine hundred ninety-six million, nine hundred forty-four thousand, nine hundred sixty".