10251267200 has 96 divisors (see below), whose sum is σ = 25420108500. Its totient is φ = 4084920320.

The previous prime is 10251267181. The next prime is 10251267203. The reversal of 10251267200 is 276215201.

It can be written as a sum of positive squares in 6 ways, for example, as 879478336 + 9371788864 = 29656^2 + 96808^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10251267200.

It is not an unprimeable number, because it can be changed into a prime (10251267203) 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 11 ways as a sum of consecutive naturals, for example, 854846 + ... + 866754.

Almost surely, 2^10251267200 is an apocalyptic number.

10251267200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10251267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12710054250).

10251267200 is an abundant number, since it is smaller than the sum of its proper divisors (15168841300).

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

10251267200 is a wasteful number, since it uses less digits than its factorization.

10251267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12202 (or 12185 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The spelling of 10251267200 in words is "ten billion, two hundred fifty-one million, two hundred sixty-seven thousand, two hundred".