1126365685200 has 900 divisors, whose sum is σ = 4719784393632. Its totient is φ = 256505356800.

The previous prime is 1126365685199. The next prime is 1126365685219. The reversal of 1126365685200 is 25865636211.

1126365685200 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 3 + 65 + 68 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 179 ways as a sum of consecutive naturals, for example, 487392045 + ... + 487394355.

Almost surely, 2^{1126365685200} is an apocalyptic number.

1126365685200 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 1126365685200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359892196816).

1126365685200 is an abundant number, since it is smaller than the sum of its proper divisors (3593418708432).

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

1126365685200 is a wasteful number, since it uses less digits than its factorization.

1126365685200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1126365685200 in words is "one trillion, one hundred twenty-six billion, three hundred sixty-five million, six hundred eighty-five thousand, two hundred".