5981045760 has 528 divisors, whose sum is σ = 22072227840. Its totient is φ = 1495203840.

The previous prime is 5981045743. The next prime is 5981045761. The reversal of 5981045760 is 675401895.

5981045760 is a `hidden beast` number, since 598 + 1 + 0 + 4 + 57 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5981045761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75709401 + ... + 75709479.

Almost surely, 2^5981045760 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 5981045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11036113920).

5981045760 is an abundant number, since it is smaller than the sum of its proper divisors (16091182080).

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

5981045760 is a wasteful number, since it uses less digits than its factorization.

5981045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5981045760 is about 77337.2210517032. The cubic root of 5981045760 is about 1815.2051221853.

It can be divided in two parts, 59810 and 45760, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 5981045760 in words is "five billion, nine hundred eighty-one million, forty-five thousand, seven hundred sixty".