504721601280 has 720 divisors, whose sum is σ = 1951623791040. Its totient is φ = 123810840576.

The previous prime is 504721601273. The next prime is 504721601353. The reversal of 504721601280 is 82106127405.

504721601280 is a `hidden beast` number, since 5 + 0 + 4 + 7 + 21 + 601 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 591701334 + ... + 591702186.

Almost surely, 2^504721601280 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 504721601280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975811895520).

504721601280 is an abundant number, since it is smaller than the sum of its proper divisors (1446902189760).

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

504721601280 is a wasteful number, since it uses less digits than its factorization.

504721601280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 504721601280 its reverse (82106127405), we get a palindrome (586827728685).

The spelling of 504721601280 in words is "five hundred four billion, seven hundred twenty-one million, six hundred one thousand, two hundred eighty".