1127368368000 has 1536 divisors, whose sum is σ = 5009820641280. Its totient is φ = 246343680000.

The previous prime is 1127368367981. The next prime is 1127368368013. The reversal of 1127368368000 is 8638637211.

1127368368000 is a `hidden beast` number, since 11 + 273 + 6 + 8 + 368 + 0 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 625967100 + ... + 625968900.

It is an arithmetic number, because the mean of its divisors is an integer number (3261601980).

Almost surely, 2^{1127368368000} is an apocalyptic number.

1127368368000 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 1127368368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504910320640).

1127368368000 is an abundant number, since it is smaller than the sum of its proper divisors (3882452273280).

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

1127368368000 is an equidigital number, since it uses as much as digits as its factorization.

1127368368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1127368368000 in words is "one trillion, one hundred twenty-seven billion, three hundred sixty-eight million, three hundred sixty-eight thousand".