11719249920 has 624 divisors, whose sum is σ = 48086019072. Its totient is φ = 2583429120.

The previous prime is 11719249879. The next prime is 11719249933. The reversal of 11719249920 is 2994291711.

It is a happy number.

11719249920 is a `hidden beast` number, since 1 + 1 + 71 + 92 + 499 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39997294 + ... + 39997586.

It is an arithmetic number, because the mean of its divisors is an integer number (77060928).

Almost surely, 2^11719249920 is an apocalyptic number.

11719249920 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 11719249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24043009536).

11719249920 is an abundant number, since it is smaller than the sum of its proper divisors (36366769152).

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

11719249920 is a wasteful number, since it uses less digits than its factorization.

11719249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 11719249920 in words is "eleven billion, seven hundred nineteen million, two hundred forty-nine thousand, nine hundred twenty".