503268882480 has 3360 divisors, whose sum is σ = 2491880509440. Its totient is φ = 93117911040.

The previous prime is 503268882469. The next prime is 503268882509. The reversal of 503268882480 is 84288862305.

503268882480 is a `hidden beast` number, since 5 + 0 + 3 + 2 + 6 + 88 + 82 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 16234480065 + ... + 16234480095.

It is an arithmetic number, because the mean of its divisors is an integer number (741631104).

Almost surely, 2^503268882480 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 503268882480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245940254720).

503268882480 is an abundant number, since it is smaller than the sum of its proper divisors (1988611626960).

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

503268882480 is a wasteful number, since it uses less digits than its factorization.

503268882480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 503268882480 in words is "five hundred three billion, two hundred sixty-eight million, eight hundred eighty-two thousand, four hundred eighty".