10251882257200 has 60 divisors (see below), whose sum is σ = 24703233937720. Its totient is φ = 4088584442880.

The previous prime is 10251882257173. The next prime is 10251882257231. The reversal of 10251882257200 is 275228815201.

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 11 ways as a sum of consecutive naturals, for example, 37891470 + ... + 38161069.

Almost surely, 2^{10251882257200} is an apocalyptic number.

10251882257200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10251882257200 is an abundant number, since it is smaller than the sum of its proper divisors (14451351680520).

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

10251882257200 is a wasteful number, since it uses less digits than its factorization.

10251882257200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76052894 (or 76052883 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 43.

It can be divided in two parts, 1025 and 1882257200, that added together give a square (1882258225 = 43385²).

The spelling of 10251882257200 in words is "ten trillion, two hundred fifty-one billion, eight hundred eighty-two million, two hundred fifty-seven thousand, two hundred".