5949538560 has 288 divisors, whose sum is σ = 24129665280. Its totient is φ = 1359839232.

The previous prime is 5949538531. The next prime is 5949538579. The reversal of 5949538560 is 658359495.

It is a happy number.

5949538560 is a `hidden beast` number, since 5 + 9 + 49 + 5 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5949538497 and 5949538506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229624 + ... + 254216.

It is an arithmetic number, because the mean of its divisors is an integer number (83783560).

Almost surely, 2^5949538560 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 5949538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12064832640).

5949538560 is an abundant number, since it is smaller than the sum of its proper divisors (18180126720).

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

5949538560 is a wasteful number, since it uses less digits than its factorization.

5949538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24630 (or 24610 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The square root of 5949538560 is about 77133.2519734518. The cubic root of 5949538560 is about 1812.0121046514.

The spelling of 5949538560 in words is "five billion, nine hundred forty-nine million, five hundred thirty-eight thousand, five hundred sixty".