5209964160 has 512 divisors, whose sum is σ = 19176652800. Its totient is φ = 1194393600.

The previous prime is 5209964131. The next prime is 5209964161. The reversal of 5209964160 is 614699025.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5209964161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19224825 + ... + 19225095.

It is an arithmetic number, because the mean of its divisors is an integer number (37454400).

Almost surely, 2^5209964160 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 5209964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9588326400).

5209964160 is an abundant number, since it is smaller than the sum of its proper divisors (13966688640).

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

5209964160 is a wasteful number, since it uses less digits than its factorization.

5209964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 5209964160 is about 72180.0814629632. The cubic root of 5209964160 is about 1733.5840873256.

The spelling of 5209964160 in words is "five billion, two hundred nine million, nine hundred sixty-four thousand, one hundred sixty".