1126115027856 has 480 divisors, whose sum is σ = 4023025843200. Its totient is φ = 292118400000.

The previous prime is 1126115027839. The next prime is 1126115027881. The reversal of 1126115027856 is 6587205116211.

1126115027856 is a `hidden beast` number, since 1 + 1 + 2 + 61 + 1 + 502 + 7 + 85 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39153481 + ... + 39182231.

It is an arithmetic number, because the mean of its divisors is an integer number (8381303840).

Almost surely, 2^{1126115027856} is an apocalyptic number.

1126115027856 is a gapful number since it is divisible by the number (16) 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 1126115027856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011512921600).

1126115027856 is an abundant number, since it is smaller than the sum of its proper divisors (2896910815344).

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

1126115027856 is a wasteful number, since it uses less digits than its factorization.

1126115027856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28860 (or 28837 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 1126115027856 in words is "one trillion, one hundred twenty-six billion, one hundred fifteen million, twenty-seven thousand, eight hundred fifty-six".