1126858396752 has 640 divisors, whose sum is σ = 3670222233600. Its totient is φ = 330852487680.

The previous prime is 1126858396717. The next prime is 1126858396777. The reversal of 1126858396752 is 2576938586211.

1126858396752 is a `hidden beast` number, since 1 + 126 + 8 + 58 + 396 + 75 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1126858396752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3138881149 + ... + 3138881507.

It is an arithmetic number, because the mean of its divisors is an integer number (5734722240).

Almost surely, 2^{1126858396752} is an apocalyptic number.

1126858396752 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 1126858396752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835111116800).

1126858396752 is an abundant number, since it is smaller than the sum of its proper divisors (2543363836848).

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

1126858396752 is a wasteful number, since it uses less digits than its factorization.

1126858396752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 531 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 1126858396752 in words is "one trillion, one hundred twenty-six billion, eight hundred fifty-eight million, three hundred ninety-six thousand, seven hundred fifty-two".