11906519680 has 256 divisors, whose sum is σ = 32466355200. Its totient is φ = 4136140800.

The previous prime is 11906519671. The next prime is 11906519699. The reversal of 11906519680 is 8691560911.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11906519680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19423054 + ... + 19423666.

It is an arithmetic number, because the mean of its divisors is an integer number (126821700).

Almost surely, 2^11906519680 is an apocalyptic number.

11906519680 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 11906519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16233177600).

11906519680 is an abundant number, since it is smaller than the sum of its proper divisors (20559835520).

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

11906519680 is a wasteful number, since it uses less digits than its factorization.

11906519680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 46.

The spelling of 11906519680 in words is "eleven billion, nine hundred six million, five hundred nineteen thousand, six hundred eighty".