504936529920 has 840 divisors, whose sum is σ = 1918389848760. Its totient is φ = 126835752960.

The previous prime is 504936529913. The next prime is 504936529931. The reversal of 504936529920 is 29925639405.

It is a happy number.

504936529920 is a `hidden beast` number, since 5 + 0 + 4 + 93 + 6 + 529 + 9 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1358954496 + 503577575424 = 36864^2 + 709632^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12315525100 + ... + 12315525140.

It is an arithmetic number, because the mean of its divisors is an integer number (2283797439).

Almost surely, 2^504936529920 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 504936529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959194924380).

504936529920 is an abundant number, since it is smaller than the sum of its proper divisors (1413453318840).

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

504936529920 is an frugal number, since it uses more digits than its factorization.

504936529920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 504936529920 in words is "five hundred four billion, nine hundred thirty-six million, five hundred twenty-nine thousand, nine hundred twenty".