503265208320 has 672 divisors, whose sum is σ = 2069339650560. Its totient is φ = 115020103680.

The previous prime is 503265208301. The next prime is 503265208321. The reversal of 503265208320 is 23802562305.

503265208320 is a `hidden beast` number, since 5 + 0 + 32 + 6 + 520 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (503265208321) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 52249905 + ... + 52259535.

It is an arithmetic number, because the mean of its divisors is an integer number (3079374480).

Almost surely, 2^503265208320 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 503265208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034669825280).

503265208320 is an abundant number, since it is smaller than the sum of its proper divisors (1566074442240).

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

503265208320 is an frugal number, since it uses more digits than its factorization.

503265208320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9683 (or 9648 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 503265208320 in words is "five hundred three billion, two hundred sixty-five million, two hundred eight thousand, three hundred twenty".