11813719680 has 576 divisors, whose sum is σ = 49974818400. Its totient is φ = 2556997632.

The previous prime is 11813719669. The next prime is 11813719691. The reversal of 11813719680 is 8691731811.

11813719680 is a `hidden beast` number, since 118 + 1 + 371 + 96 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (11813719669) and next prime (11813719691).

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 5361459 + ... + 5363661.

Almost surely, 2^11813719680 is an apocalyptic number.

11813719680 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 11813719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24987409200).

11813719680 is an abundant number, since it is smaller than the sum of its proper divisors (38161098720).

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

11813719680 is a wasteful number, since it uses less digits than its factorization.

11813719680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 11813719680 in words is "eleven billion, eight hundred thirteen million, seven hundred nineteen thousand, six hundred eighty".