5981506560 has 220 divisors, whose sum is σ = 21435823728. Its totient is φ = 1594957824.

The previous prime is 5981506549. The next prime is 5981506577. The reversal of 5981506560 is 656051895.

It is a happy number.

5981506560 is a `hidden beast` number, since 5 + 9 + 81 + 5 + 0 + 6 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 407509 + ... + 421931.

Almost surely, 2^5981506560 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 5981506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10717911864).

5981506560 is an abundant number, since it is smaller than the sum of its proper divisors (15454317168).

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

5981506560 is a wasteful number, since it uses less digits than its factorization.

5981506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14460 (or 14433 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 5981506560 is about 77340.2001549000. The cubic root of 5981506560 is about 1815.2517375027.

The spelling of 5981506560 in words is "five billion, nine hundred eighty-one million, five hundred six thousand, five hundred sixty".