5981724564480 has 528 divisors, whose sum is σ = 24728685899040. Its totient is φ = 1367249780736.

The previous prime is 5981724564469. The next prime is 5981724564481. The reversal of 5981724564480 is 844654271895.

It is a happy number.

5981724564480 is a `hidden beast` number, since 5 + 9 + 8 + 1 + 7 + 24 + 564 + 48 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5981724564481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6332224 + ... + 7215296.

Almost surely, 2^{5981724564480} 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 5981724564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12364342949520).

5981724564480 is an abundant number, since it is smaller than the sum of its proper divisors (18746961334560).

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

5981724564480 is a wasteful number, since it uses less digits than its factorization.

5981724564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883121 (or 883090 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 5981724564480 in words is "five trillion, nine hundred eighty-one billion, seven hundred twenty-four million, five hundred sixty-four thousand, four hundred eighty".