11819818887840 has 384 divisors, whose sum is σ = 42016095636480. Its totient is φ = 3102946292736.

The previous prime is 11819818887829. The next prime is 11819818887857. The reversal of 11819818887840 is 4878881891811.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101414239 + ... + 101530721.

It is an arithmetic number, because the mean of its divisors is an integer number (109416915720).

Almost surely, 2^{11819818887840} is an apocalyptic number.

11819818887840 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 11819818887840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21008047818240).

11819818887840 is an abundant number, since it is smaller than the sum of its proper divisors (30196276748640).

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

11819818887840 is a wasteful number, since it uses less digits than its factorization.

11819818887840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116873 (or 116859 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 72.

The spelling of 11819818887840 in words is "eleven trillion, eight hundred nineteen billion, eight hundred eighteen million, eight hundred eighty-seven thousand, eight hundred forty".