503219796480 has 480 divisors, whose sum is σ = 1856271441024. Its totient is φ = 130559164416.

The previous prime is 503219796467. The next prime is 503219796481. The reversal of 503219796480 is 84697912305.

503219796480 is a `hidden beast` number, since 50 + 3 + 21 + 9 + 7 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (503219796481) 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 47 ways as a sum of consecutive naturals, for example, 23006029 + ... + 23027891.

It is a 1-persistent number, because it is pandigital, but 2⋅503219796480 = 1006439592960 is not.

Almost surely, 2^503219796480 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 503219796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928135720512).

503219796480 is an abundant number, since it is smaller than the sum of its proper divisors (1353051644544).

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

503219796480 is an equidigital number, since it uses as much as digits as its factorization.

503219796480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21938 (or 21910 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 503219796480 in words is "five hundred three billion, two hundred nineteen million, seven hundred ninety-six thousand, four hundred eighty".