1125864000 has 336 divisors, whose sum is σ = 4244522880. Its totient is φ = 284083200.

The previous prime is 1125863993. The next prime is 1125864011. The reversal of 1125864000 is 4685211.

1125864000 is a `hidden beast` number, since 1 + 1 + 258 + 6 + 400 + 0 = 666.

It is a super-3 number, since 3×1125864000³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1367589 + ... + 1368411.

Almost surely, 2^1125864000 is an apocalyptic number.

1125864000 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 1125864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122261440).

1125864000 is an abundant number, since it is smaller than the sum of its proper divisors (3118658880).

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

1125864000 is a wasteful number, since it uses less digits than its factorization.

1125864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1125864000 is about 33553.8969420841. The cubic root of 1125864000 is about 1040.3080941242.

The spelling of 1125864000 in words is "one billion, one hundred twenty-five million, eight hundred sixty-four thousand".