5988608962560 has 1872 divisors, whose sum is σ = 25507179749376. Its totient is φ = 1293278773248.

The previous prime is 5988608962529. The next prime is 5988608962573. The reversal of 5988608962560 is 652698068895.

5988608962560 is a `hidden beast` number, since 5 + 9 + 8 + 8 + 608 + 9 + 6 + 2 + 5 + 6 + 0 = 666.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 26381537167 + ... + 26381537393.

It is an arithmetic number, because the mean of its divisors is an integer number (13625630208).

Almost surely, 2^{5988608962560} 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 5988608962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12753589874688).

5988608962560 is an abundant number, since it is smaller than the sum of its proper divisors (19518570786816).

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

5988608962560 is a wasteful number, since it uses less digits than its factorization.

5988608962560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 5988608962560 in words is "five trillion, nine hundred eighty-eight billion, six hundred eight million, nine hundred sixty-two thousand, five hundred sixty".