1189001888256 has 640 divisors, whose sum is σ = 4094817914880. Its totient is φ = 297977315328.

The previous prime is 1189001888237. The next prime is 1189001888273. The reversal of 1189001888256 is 6528881009811.

It is a junction number, because it is equal to n+sod(n) for n = 1189001888196 and 1189001888205.

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 63 ways as a sum of consecutive naturals, for example, 524019090 + ... + 524021358.

It is an arithmetic number, because the mean of its divisors is an integer number (6398152992).

Almost surely, 2^{1189001888256} is an apocalyptic number.

1189001888256 is a gapful number since it is divisible by the number (16) 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 1189001888256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047408957440).

1189001888256 is an abundant number, since it is smaller than the sum of its proper divisors (2905816026624).

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

1189001888256 is a wasteful number, since it uses less digits than its factorization.

1189001888256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 57.

The spelling of 1189001888256 in words is "one trillion, one hundred eighty-nine billion, one million, eight hundred eighty-eight thousand, two hundred fifty-six".