1993612944960 has 896 divisors, whose sum is σ = 8704473523200. Its totient is φ = 418276638720.

The previous prime is 1993612944931. The next prime is 1993612944977. The reversal of 1993612944960 is 694492163991.

1993612944960 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 6 + 129 + 449 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 142302436 + ... + 142316444.

It is an arithmetic number, because the mean of its divisors is an integer number (9714814200).

Almost surely, 2^{1993612944960} is an apocalyptic number.

1993612944960 is a gapful number since it is divisible by the number (10) 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 1993612944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352236761600).

1993612944960 is an abundant number, since it is smaller than the sum of its proper divisors (6710860578240).

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

1993612944960 is a wasteful number, since it uses less digits than its factorization.

1993612944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14236 (or 14220 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 1993612944960 in words is "one trillion, nine hundred ninety-three billion, six hundred twelve million, nine hundred forty-four thousand, nine hundred sixty".