1126691596800 has 1800 divisors, whose sum is σ = 5242390278048. Its totient is φ = 233935257600.

The previous prime is 1126691596757. The next prime is 1126691596829. The reversal of 1126691596800 is 86951966211.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 878168959 + ... + 878170241.

Almost surely, 2^{1126691596800} is an apocalyptic number.

1126691596800 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 1126691596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621195139024).

1126691596800 is an abundant number, since it is smaller than the sum of its proper divisors (4115698681248).

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

1126691596800 is a wasteful number, since it uses less digits than its factorization.

1126691596800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 1126691596800 in words is "one trillion, one hundred twenty-six billion, six hundred ninety-one million, five hundred ninety-six thousand, eight hundred".