5144826960 has 960 divisors, whose sum is σ = 23398502400. Its totient is φ = 982056960.

The previous prime is 5144826959. The next prime is 5144827001. The reversal of 5144826960 is 696284415.

5144826960 is a `hidden beast` number, since 51 + 4 + 482 + 69 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34528966 + ... + 34529114.

It is an arithmetic number, because the mean of its divisors is an integer number (24373440).

Almost surely, 2^5144826960 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 5144826960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11699251200).

5144826960 is an abundant number, since it is smaller than the sum of its proper divisors (18253675440).

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

5144826960 is a wasteful number, since it uses less digits than its factorization.

5144826960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5144826960 is about 71727.4491390848. The cubic root of 5144826960 is about 1726.3290979215.

The spelling of 5144826960 in words is "five billion, one hundred forty-four million, eight hundred twenty-six thousand, nine hundred sixty".