502805242368 has 960 divisors, whose sum is σ = 1801684684800. Its totient is φ = 137972367360.

The previous prime is 502805242319. The next prime is 502805242369. The reversal of 502805242368 is 863242508205.

502805242368 is a `hidden beast` number, since 5 + 0 + 280 + 5 + 2 + 4 + 2 + 368 = 666.

It is a super-2 number, since 2×502805242368² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (502805242369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1049697553 + ... + 1049698031.

It is an arithmetic number, because the mean of its divisors is an integer number (1876754880).

Almost surely, 2^502805242368 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 502805242368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900842342400).

502805242368 is an abundant number, since it is smaller than the sum of its proper divisors (1298879442432).

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

502805242368 is a wasteful number, since it uses less digits than its factorization.

502805242368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 502805242368 in words is "five hundred two billion, eight hundred five million, two hundred forty-two thousand, three hundred sixty-eight".