1126929945600 has 1188 divisors, whose sum is σ = 4514641411644. Its totient is φ = 267614945280.

The previous prime is 1126929945577. The next prime is 1126929945641. The reversal of 1126929945600 is 65499296211.

1126929945600 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 9 + 29 + 9 + 4 + 5 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3326976 + 1126926618624 = 1824^2 + 1061568^2 .

It is a super-2 number, since 2×1126929945600² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1413964402 + ... + 1413965198.

Almost surely, 2^{1126929945600} is an apocalyptic number.

1126929945600 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 1126929945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257320705822).

1126929945600 is an abundant number, since it is smaller than the sum of its proper divisors (3387711466044).

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

1126929945600 is a wasteful number, since it uses less digits than its factorization.

1126929945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 1126929945600 in words is "one trillion, one hundred twenty-six billion, nine hundred twenty-nine million, nine hundred forty-five thousand, six hundred".