11803878567936 has 624 divisors, whose sum is σ = 42556126878720. Its totient is φ = 3069202268160.

The previous prime is 11803878567917. The next prime is 11803878567937. The reversal of 11803878567936 is 63976587830811.

11803878567936 is a `hidden beast` number, since 1 + 1 + 80 + 387 + 85 + 6 + 7 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

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

It is not an unprimeable number, because it can be changed into a prime (11803878567937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238153525 + ... + 238203083.

It is an arithmetic number, because the mean of its divisors is an integer number (68198921280).

Almost surely, 2^{11803878567936} is an apocalyptic number.

11803878567936 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 11803878567936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21278063439360).

11803878567936 is an abundant number, since it is smaller than the sum of its proper divisors (30752248310784).

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

11803878567936 is a wasteful number, since it uses less digits than its factorization.

11803878567936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49680 (or 49655 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 11803878567936 in words is "eleven trillion, eight hundred three billion, eight hundred seventy-eight million, five hundred sixty-seven thousand, nine hundred thirty-six".