502880900256 has 480 divisors, whose sum is σ = 1712781987840. Its totient is φ = 141777506304.

The previous prime is 502880900231. The next prime is 502880900261. The reversal of 502880900256 is 652009088205.

502880900256 is a `hidden beast` number, since 502 + 8 + 8 + 0 + 90 + 0 + 2 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 527681476 + ... + 527682428.

It is an arithmetic number, because the mean of its divisors is an integer number (3568295808).

Almost surely, 2^502880900256 is an apocalyptic number.

502880900256 is a gapful number since it is divisible by the number (56) 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 502880900256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856390993920).

502880900256 is an abundant number, since it is smaller than the sum of its proper divisors (1209901087584).

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

502880900256 is a wasteful number, since it uses less digits than its factorization.

502880900256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 502880900256 in words is "five hundred two billion, eight hundred eighty million, nine hundred thousand, two hundred fifty-six".