11819182320 has 480 divisors, whose sum is σ = 45370113984. Its totient is φ = 2731622400.

The previous prime is 11819182273. The next prime is 11819182327. The reversal of 11819182320 is 2328191811.

It is a happy number.

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 (11819182327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15530740 + ... + 15531500.

Almost surely, 2^11819182320 is an apocalyptic number.

11819182320 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 11819182320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22685056992).

11819182320 is an abundant number, since it is smaller than the sum of its proper divisors (33550931664).

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

11819182320 is a wasteful number, since it uses less digits than its factorization.

11819182320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 872 counting only the distinct ones).

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

The spelling of 11819182320 in words is "eleven billion, eight hundred nineteen million, one hundred eighty-two thousand, three hundred twenty".