5909924160 has 896 divisors, whose sum is σ = 25944576000. Its totient is φ = 1236197376.

The previous prime is 5909924117. The next prime is 5909924161. The reversal of 5909924160 is 614299095.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5909924161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42517371 + ... + 42517509.

It is an arithmetic number, because the mean of its divisors is an integer number (28956000).

Almost surely, 2^5909924160 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 5909924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972288000).

5909924160 is an abundant number, since it is smaller than the sum of its proper divisors (20034651840).

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

5909924160 is a wasteful number, since it uses less digits than its factorization.

5909924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 5909924160 is about 76876.0311150361. The cubic root of 5909924160 is about 1807.9814457594.

The spelling of 5909924160 in words is "five billion, nine hundred nine million, nine hundred twenty-four thousand, one hundred sixty".