11820619008 has 360 divisors, whose sum is σ = 39799378080. Its totient is φ = 3456552960.

The previous prime is 11820619007. The next prime is 11820619043. The reversal of 11820619008 is 80091602811.

11820619008 is a `hidden beast` number, since 1 + 18 + 20 + 619 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11820619003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6613891 + ... + 6615677.

It is an arithmetic number, because the mean of its divisors is an integer number (110553828).

Almost surely, 2^11820619008 is an apocalyptic number.

11820619008 is a gapful number since it is divisible by the number (18) 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 11820619008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19899689040).

11820619008 is an abundant number, since it is smaller than the sum of its proper divisors (27978759072).

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

11820619008 is a wasteful number, since it uses less digits than its factorization.

11820619008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 11820619008 in words is "eleven billion, eight hundred twenty million, six hundred nineteen thousand, eight".