1125856800 has 288 divisors, whose sum is σ = 4162233600. Its totient is φ = 293575680.

The previous prime is 1125856783. The next prime is 1125856801. The reversal of 1125856800 is 86585211.

1125856800 is a `hidden beast` number, since 1 + 12 + 585 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1125856801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1014646 + ... + 1015754.

It is an arithmetic number, because the mean of its divisors is an integer number (14452200).

Almost surely, 2^1125856800 is an apocalyptic number.

1125856800 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 1125856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081116800).

1125856800 is an abundant number, since it is smaller than the sum of its proper divisors (3036376800).

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

1125856800 is a wasteful number, since it uses less digits than its factorization.

1125856800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 1125856800 is about 33553.7896518411. The cubic root of 1125856800 is about 1040.3058764987.

The spelling of 1125856800 in words is "one billion, one hundred twenty-five million, eight hundred fifty-six thousand, eight hundred".