502868788804872 has 320 divisors, whose sum is σ = 1638721979072640. Its totient is φ = 141110113996800.

The previous prime is 502868788804859. The next prime is 502868788804897. The reversal of 502868788804872 is 278408887868205.

502868788804872 is a `hidden beast` number, since 5 + 0 + 2 + 8 + 68 + 78 + 8 + 8 + 0 + 487 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 502868788804791 and 502868788804800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53276722 + ... + 62001182.

It is an arithmetic number, because the mean of its divisors is an integer number (5121006184602).

Almost surely, 2^{502868788804872} 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 502868788804872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819360989536320).

502868788804872 is an abundant number, since it is smaller than the sum of its proper divisors (1135853190267768).

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

502868788804872 is a wasteful number, since it uses less digits than its factorization.

502868788804872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8724714 (or 8724701 counting only the distinct ones).

The product of its (nonzero) digits is 6165626880, while the sum is 81.

The spelling of 502868788804872 in words is "five hundred two trillion, eight hundred sixty-eight billion, seven hundred eighty-eight million, eight hundred four thousand, eight hundred seventy-two".