5959304144640 has 2304 divisors, whose sum is σ = 28408839782400. Its totient is φ = 1145423462400.

The previous prime is 5959304144611. The next prime is 5959304144743. The reversal of 5959304144640 is 464414039595.

5959304144640 is a `hidden beast` number, since 5 + 9 + 593 + 0 + 4 + 1 + 4 + 4 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2174133670 + ... + 2174136410.

It is an arithmetic number, because the mean of its divisors is an integer number (12330225600).

Almost surely, 2^{5959304144640} 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 5959304144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14204419891200).

5959304144640 is an abundant number, since it is smaller than the sum of its proper divisors (22449535637760).

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

5959304144640 is a wasteful number, since it uses less digits than its factorization.

5959304144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 5959304144640 in words is "five trillion, nine hundred fifty-nine billion, three hundred four million, one hundred forty-four thousand, six hundred forty".