1126254690792 has 768 divisors, whose sum is σ = 4157516160000. Its totient is φ = 278973918720.

The previous prime is 1126254690751. The next prime is 1126254690811. The reversal of 1126254690792 is 2970964526211.

It is a happy number.

1126254690792 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 2 + 546 + 9 + 0 + 7 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 280230559 + ... + 280234577.

It is an arithmetic number, because the mean of its divisors is an integer number (5413432500).

Almost surely, 2^{1126254690792} is an apocalyptic number.

1126254690792 is a gapful number since it is divisible by the number (12) 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 1126254690792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078758080000).

1126254690792 is an abundant number, since it is smaller than the sum of its proper divisors (3031261469208).

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

1126254690792 is a wasteful number, since it uses less digits than its factorization.

1126254690792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171 (or 4154 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1126254690792 in words is "one trillion, one hundred twenty-six billion, two hundred fifty-four million, six hundred ninety thousand, seven hundred ninety-two".