10268510884200 has 72 divisors (see below), whose sum is σ = 34485082392150. Its totient is φ = 2738269568640.

The previous prime is 10268510884169. The next prime is 10268510884213. The reversal of 10268510884200 is 248801586201.

10268510884200 is a `hidden beast` number, since 1 + 0 + 268 + 5 + 108 + 84 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3757960594116 + 6510550290084 = 1938546^2 + 2551578^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2852362335 + ... + 2852365934.

Almost surely, 2^{10268510884200} is an apocalyptic number.

10268510884200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10268510884200 is an abundant number, since it is smaller than the sum of its proper divisors (24216571507950).

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

10268510884200 is a wasteful number, since it uses less digits than its factorization.

10268510884200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5704728291 (or 5704728279 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 10268510884200 in words is "ten trillion, two hundred sixty-eight billion, five hundred ten million, eight hundred eighty-four thousand, two hundred".