202520112256 has 384 divisors, whose sum is σ = 532629377280. Its totient is φ = 74937139200.

The previous prime is 202520112199. The next prime is 202520112259. The reversal of 202520112256 is 652211025202.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (202520112259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 600949720 + ... + 600950056.

It is an arithmetic number, because the mean of its divisors is an integer number (1387055670).

Almost surely, 2^202520112256 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 202520112256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266314688640).

202520112256 is an abundant number, since it is smaller than the sum of its proper divisors (330109265024).

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

202520112256 is a wasteful number, since it uses less digits than its factorization.

202520112256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 202520112256 its reverse (652211025202), we get a palindrome (854731137458).

The spelling of 202520112256 in words is "two hundred two billion, five hundred twenty million, one hundred twelve thousand, two hundred fifty-six".