1126011191760 has 1440 divisors, whose sum is σ = 4856944135680. Its totient is φ = 231662592000.

The previous prime is 1126011191717. The next prime is 1126011191827. The reversal of 1126011191760 is 671911106211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 4917079326 + ... + 4917079554.

It is an arithmetic number, because the mean of its divisors is an integer number (3372877872).

Almost surely, 2^{1126011191760} is an apocalyptic number.

1126011191760 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 1126011191760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428472067840).

1126011191760 is an abundant number, since it is smaller than the sum of its proper divisors (3730932943920).

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

1126011191760 is a wasteful number, since it uses less digits than its factorization.

1126011191760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

Adding to 1126011191760 its reverse (671911106211), we get a palindrome (1797922297971).

The spelling of 1126011191760 in words is "one trillion, one hundred twenty-six billion, eleven million, one hundred ninety-one thousand, seven hundred sixty".