1125869544900 has 243 divisors, whose sum is σ = 3571893466869. Its totient is φ = 296624240640.

The previous prime is 1125869544889. The next prime is 1125869544973. The reversal of 1125869544900 is 94459685211.

The square root of 1125869544900 is 1061070.

It is a perfect power (a square), and thus also a powerful number.

1125869544900 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 8 + 6 + 9 + 544 + 90 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 642822304644 + 483047240256 = 801762^2 + 695016^2 .

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 3597027144 + ... + 3597027456.

Almost surely, 2^{1125869544900} is an apocalyptic number.

1125869544900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1125869544900 is the 1061070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125869544900

1125869544900 is an abundant number, since it is smaller than the sum of its proper divisors (2446023921969).

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

1125869544900 is a wasteful number, since it uses less digits than its factorization.

1125869544900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 1125869544900 in words is "one trillion, one hundred twenty-five billion, eight hundred sixty-nine million, five hundred forty-four thousand, nine hundred".