504809921616 has 320 divisors, whose sum is σ = 1775622352896. Its totient is φ = 119327846400.

The previous prime is 504809921593. The next prime is 504809921719. The reversal of 504809921616 is 616129908405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3337420 + ... + 3485396.

Almost surely, 2^504809921616 is an apocalyptic number.

504809921616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504809921616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887811176448).

504809921616 is an abundant number, since it is smaller than the sum of its proper divisors (1270812431280).

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

504809921616 is a wasteful number, since it uses less digits than its factorization.

504809921616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148090 (or 148084 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 504809921616 in words is "five hundred four billion, eight hundred nine million, nine hundred twenty-one thousand, six hundred sixteen".