1127892254720 has 864 divisors, whose sum is σ = 3580378454016. Its totient is φ = 336907468800.

The previous prime is 1127892254707. The next prime is 1127892254789. The reversal of 1127892254720 is 274522987211.

It is a happy number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 10950410189 + ... + 10950410291.

It is an arithmetic number, because the mean of its divisors is an integer number (4143956544).

Almost surely, 2^{1127892254720} is an apocalyptic number.

1127892254720 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 1127892254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790189227008).

1127892254720 is an abundant number, since it is smaller than the sum of its proper divisors (2452486199296).

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

1127892254720 is an equidigital number, since it uses as much as digits as its factorization.

1127892254720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 50.

The spelling of 1127892254720 in words is "one trillion, one hundred twenty-seven billion, eight hundred ninety-two million, two hundred fifty-four thousand, seven hundred twenty".