5930558544960 has 4032 divisors, whose sum is σ = 27683900375040. Its totient is φ = 1200186408960.

The previous prime is 5930558544943. The next prime is 5930558545027. The reversal of 5930558544960 is 694458550395.

5930558544960 is a `hidden beast` number, since 5 + 9 + 3 + 0 + 5 + 585 + 4 + 49 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 100517941411 + ... + 100517941469.

It is an arithmetic number, because the mean of its divisors is an integer number (6866046720).

Almost surely, 2^{5930558544960} 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 5930558544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13841950187520).

5930558544960 is an abundant number, since it is smaller than the sum of its proper divisors (21753341830080).

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

5930558544960 is a wasteful number, since it uses less digits than its factorization.

5930558544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 116640000, while the sum is 63.

The spelling of 5930558544960 in words is "five trillion, nine hundred thirty billion, five hundred fifty-eight million, five hundred forty-four thousand, nine hundred sixty".