504552222720 has 1664 divisors, whose sum is σ = 2275719290880. Its totient is φ = 103195607040.

The previous prime is 504552222677. The next prime is 504552222773. The reversal of 504552222720 is 27222255405.

504552222720 is a `hidden beast` number, since 5 + 0 + 45 + 522 + 22 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1861816185 + ... + 1861816455.

Almost surely, 2^504552222720 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 504552222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137859645440).

504552222720 is an abundant number, since it is smaller than the sum of its proper divisors (1771167068160).

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

504552222720 is a wasteful number, since it uses less digits than its factorization.

504552222720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The spelling of 504552222720 in words is "five hundred four billion, five hundred fifty-two million, two hundred twenty-two thousand, seven hundred twenty".