1125769881600 has 2880 divisors, whose sum is σ = 5436333302400. Its totient is φ = 223590481920.

The previous prime is 1125769881583. The next prime is 1125769881647. The reversal of 1125769881600 is 61889675211.

It is a happy number.

1125769881600 is a `hidden beast` number, since 1 + 1 + 2 + 576 + 9 + 8 + 8 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 7170508722 + ... + 7170508878.

It is an arithmetic number, because the mean of its divisors is an integer number (1887615730).

Almost surely, 2^{1125769881600} is an apocalyptic number.

1125769881600 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 1125769881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718166651200).

1125769881600 is an abundant number, since it is smaller than the sum of its proper divisors (4310563420800).

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

1125769881600 is a wasteful number, since it uses less digits than its factorization.

1125769881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 1125769881600 in words is "one trillion, one hundred twenty-five billion, seven hundred sixty-nine million, eight hundred eighty-one thousand, six hundred".