11919424608 has 576 divisors, whose sum is σ = 45649723392. Its totient is φ = 2859909120.

The previous prime is 11919424567. The next prime is 11919424631. The reversal of 11919424608 is 80642491911.

It is a happy number.

11919424608 is a `hidden beast` number, since 1 + 1 + 9 + 19 + 4 + 24 + 608 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13811185 + ... + 13812047.

It is an arithmetic number, because the mean of its divisors is an integer number (79252992).

Almost surely, 2^11919424608 is an apocalyptic number.

11919424608 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 11919424608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22824861696).

11919424608 is an abundant number, since it is smaller than the sum of its proper divisors (33730298784).

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

11919424608 is a wasteful number, since it uses less digits than its factorization.

11919424608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11919424608 in words is "eleven billion, nine hundred nineteen million, four hundred twenty-four thousand, six hundred eight".