503284320000 has 2880 divisors, whose sum is σ = 2482665292800. Its totient is φ = 97320960000.

The previous prime is 503284319957. The next prime is 503284320013. The reversal of 503284320000 is 23482305.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5654879956 + ... + 5654880044.

It is an arithmetic number, because the mean of its divisors is an integer number (862036560).

Almost surely, 2^503284320000 is an apocalyptic number.

503284320000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503284320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241332646400).

503284320000 is an abundant number, since it is smaller than the sum of its proper divisors (1979380972800).

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

503284320000 is a wasteful number, since it uses less digits than its factorization.

503284320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 503284320000 in words is "five hundred three billion, two hundred eighty-four million, three hundred twenty thousand".