1126560000000 has 384 divisors, whose sum is σ = 3755873197440. Its totient is φ = 300288000000.

The previous prime is 1126559999993. The next prime is 1126560000029. The reversal of 1126560000000 is 656211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 479998827 + ... + 480001173.

It is an arithmetic number, because the mean of its divisors is an integer number (9780919785).

Almost surely, 2^{1126560000000} is an apocalyptic number.

1126560000000 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 1126560000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877936598720).

1126560000000 is an abundant number, since it is smaller than the sum of its proper divisors (2629313197440).

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

1126560000000 is an frugal number, since it uses more digits than its factorization.

1126560000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 1126560000000 its reverse (656211), we get a palindrome (1126560656211).

The spelling of 1126560000000 in words is "one trillion, one hundred twenty-six billion, five hundred sixty million", and thus it is an aban number.