11268258827600 has 60 divisors (see below), whose sum is σ = 27072786556284. Its totient is φ = 4507171215360.

The previous prime is 11268258827593. The next prime is 11268258827627. The reversal of 11268258827600 is 672885286211.

It can be written as a sum of positive squares in 6 ways, for example, as 2793150097984 + 8475108729616 = 1671272^2 + 2911204^2 .

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 11 ways as a sum of consecutive naturals, for example, 13843112 + ... + 14634488.

Almost surely, 2^{11268258827600} is an apocalyptic number.

11268258827600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11268258827600 is an abundant number, since it is smaller than the sum of its proper divisors (15804527728684).

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

11268258827600 is a wasteful number, since it uses less digits than its factorization.

11268258827600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826992 (or 826981 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 56.

The spelling of 11268258827600 in words is "eleven trillion, two hundred sixty-eight billion, two hundred fifty-eight million, eight hundred twenty-seven thousand, six hundred".