1126350489600 has 1296 divisors, whose sum is σ = 4797180460800. Its totient is φ = 256914063360.

The previous prime is 1126350489599. The next prime is 1126350489629. The reversal of 1126350489600 is 69840536211.

1126350489600 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 3 + 504 + 89 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2351462161 + ... + 2351462639.

Almost surely, 2^{1126350489600} is an apocalyptic number.

1126350489600 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 1126350489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398590230400).

1126350489600 is an abundant number, since it is smaller than the sum of its proper divisors (3670829971200).

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

1126350489600 is an frugal number, since it uses more digits than its factorization.

1126350489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1126350489600 in words is "one trillion, one hundred twenty-six billion, three hundred fifty million, four hundred eighty-nine thousand, six hundred".