11819000378196 has 1080 divisors, whose sum is σ = 37530875733120. Its totient is φ = 3241998302400.

The previous prime is 11819000378179. The next prime is 11819000378201. The reversal of 11819000378196 is 69187300091811.

11819000378196 is a `hidden beast` number, since 1 + 1 + 81 + 9 + 0 + 0 + 0 + 378 + 196 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 149607599685 + ... + 149607599763.

It is an arithmetic number, because the mean of its divisors is an integer number (34750810864).

Almost surely, 2^{11819000378196} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11819000378196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18765437866560).

11819000378196 is an abundant number, since it is smaller than the sum of its proper divisors (25711875354924).

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

11819000378196 is a wasteful number, since it uses less digits than its factorization.

11819000378196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 54.

The spelling of 11819000378196 in words is "eleven trillion, eight hundred nineteen billion, three hundred seventy-eight thousand, one hundred ninety-six".