1125058659200 has 480 divisors, whose sum is σ = 3270625071360. Its totient is φ = 382365204480.

The previous prime is 1125058659187. The next prime is 1125058659209. The reversal of 1125058659200 is 29568505211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125058659209) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 975765824 + ... + 975766976.

It is an arithmetic number, because the mean of its divisors is an integer number (6813802232).

Almost surely, 2^{1125058659200} is an apocalyptic number.

1125058659200 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 1125058659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635312535680).

1125058659200 is an abundant number, since it is smaller than the sum of its proper divisors (2145566412160).

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

1125058659200 is an equidigital number, since it uses as much as digits as its factorization.

1125058659200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 44.

The spelling of 1125058659200 in words is "one trillion, one hundred twenty-five billion, fifty-eight million, six hundred fifty-nine thousand, two hundred".