504996652160 has 1024 divisors, whose sum is σ = 1678944153600. Its totient is φ = 140204113920.

The previous prime is 504996652099. The next prime is 504996652219. The reversal of 504996652160 is 61256699405.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3633069371 + ... + 3633069509.

It is an arithmetic number, because the mean of its divisors is an integer number (1639593900).

Almost surely, 2^504996652160 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 504996652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839472076800).

504996652160 is an abundant number, since it is smaller than the sum of its proper divisors (1173947501440).

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

504996652160 is a wasteful number, since it uses less digits than its factorization.

504996652160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 53.

The spelling of 504996652160 in words is "five hundred four billion, nine hundred ninety-six million, six hundred fifty-two thousand, one hundred sixty".