502253661120 has 224 divisors, whose sum is σ = 1623342366720. Its totient is φ = 131542794240.

The previous prime is 502253661109. The next prime is 502253661157. The reversal of 502253661120 is 21166352205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14468104 + ... + 14502776.

Almost surely, 2^502253661120 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 502253661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811671183360).

502253661120 is an abundant number, since it is smaller than the sum of its proper divisors (1121088705600).

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

502253661120 is a wasteful number, since it uses less digits than its factorization.

502253661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34963 (or 34953 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 502253661120 in words is "five hundred two billion, two hundred fifty-three million, six hundred sixty-one thousand, one hundred twenty".