5349968960 has 168 divisors, whose sum is σ = 15073335360. Its totient is φ = 1802873856.

The previous prime is 5349968959. The next prime is 5349968977. The reversal of 5349968960 is 698699435.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a self number, because there is not a number n which added to its sum of digits gives 5349968960.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 922229 + ... + 928011.

Almost surely, 2^5349968960 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 5349968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7536667680).

5349968960 is an abundant number, since it is smaller than the sum of its proper divisors (9723366400).

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

5349968960 is a wasteful number, since it uses less digits than its factorization.

5349968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5873 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 59.

The square root of 5349968960 is about 73143.4820062595. The cubic root of 5349968960 is about 1748.9756138120.

The spelling of 5349968960 in words is "five billion, three hundred forty-nine million, nine hundred sixty-eight thousand, nine hundred sixty".