1119879868800 has 2304 divisors, whose sum is σ = 5138831808000. Its totient is φ = 210980044800.

The previous prime is 1119879868799. The next prime is 1119879868837. The reversal of 1119879868800 is 88689789111.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2550978981 + ... + 2550979419.

It is an arithmetic number, because the mean of its divisors is an integer number (2230395750).

Almost surely, 2^{1119879868800} is an apocalyptic number.

1119879868800 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 1119879868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569415904000).

1119879868800 is an abundant number, since it is smaller than the sum of its proper divisors (4018951939200).

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

1119879868800 is a wasteful number, since it uses less digits than its factorization.

1119879868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 66.

The spelling of 1119879868800 in words is "one trillion, one hundred nineteen billion, eight hundred seventy-nine million, eight hundred sixty-eight thousand, eight hundred".