1127845744800 has 432 divisors, whose sum is σ = 3886229140416. Its totient is φ = 283934208000.

The previous prime is 1127845744789. The next prime is 1127845744847. The reversal of 1127845744800 is 84475487211.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94556437 + ... + 94568363.

It is an arithmetic number, because the mean of its divisors is an integer number (8995900788).

Almost surely, 2^{1127845744800} is an apocalyptic number.

1127845744800 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 1127845744800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943114570208).

1127845744800 is an abundant number, since it is smaller than the sum of its proper divisors (2758383395616).

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

1127845744800 is a wasteful number, since it uses less digits than its factorization.

1127845744800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12053 (or 12009 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 51.

The spelling of 1127845744800 in words is "one trillion, one hundred twenty-seven billion, eight hundred forty-five million, seven hundred forty-four thousand, eight hundred".