5980786560 has 768 divisors, whose sum is σ = 25637414400. Its totient is φ = 1254113280.

The previous prime is 5980786463. The next prime is 5980786571. The reversal of 5980786560 is 656870895.

5980786560 is a `hidden beast` number, since 5 + 9 + 8 + 0 + 78 + 6 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5980786497 and 5980786506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28344855 + ... + 28345065.

It is an arithmetic number, because the mean of its divisors is an integer number (33382050).

Almost surely, 2^5980786560 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 5980786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12818707200).

5980786560 is an abundant number, since it is smaller than the sum of its proper divisors (19656627840).

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

5980786560 is a wasteful number, since it uses less digits than its factorization.

5980786560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 5980786560 is about 77335.5452557231. The cubic root of 5980786560 is about 1815.1789000170.

The spelling of 5980786560 in words is "five billion, nine hundred eighty million, seven hundred eighty-six thousand, five hundred sixty".