5993940648960 has 1056 divisors, whose sum is σ = 23476266777600. Its totient is φ = 1400890982400.

The previous prime is 5993940648959. The next prime is 5993940648967. The reversal of 5993940648960 is 698460493995.

5993940648960 is a `hidden beast` number, since 5 + 9 + 93 + 9 + 406 + 48 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (5993940648967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5483934174 + ... + 5483935266.

Almost surely, 2^{5993940648960} 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 5993940648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11738133388800).

5993940648960 is an abundant number, since it is smaller than the sum of its proper divisors (17482326128640).

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

5993940648960 is a wasteful number, since it uses less digits than its factorization.

5993940648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 72.

The spelling of 5993940648960 in words is "five trillion, nine hundred ninety-three billion, nine hundred forty million, six hundred forty-eight thousand, nine hundred sixty".