503522772480 has 1920 divisors, whose sum is σ = 2269550739456. Its totient is φ = 100329062400.

The previous prime is 503522772463. The next prime is 503522772481. The reversal of 503522772480 is 84277225305.

503522772480 is a `hidden beast` number, since 5 + 0 + 352 + 277 + 24 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503522772481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3964746177 + ... + 3964746303.

Almost surely, 2^503522772480 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 503522772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134775369728).

503522772480 is an abundant number, since it is smaller than the sum of its proper divisors (1766027966976).

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

503522772480 is a wasteful number, since it uses less digits than its factorization.

503522772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

Adding to 503522772480 its reverse (84277225305), we get a palindrome (587799997785).

The spelling of 503522772480 in words is "five hundred three billion, five hundred twenty-two million, seven hundred seventy-two thousand, four hundred eighty".