11728946880 has 448 divisors, whose sum is σ = 47841408000. Its totient is φ = 2649563136.

The previous prime is 11728946857. The next prime is 11728946893. The reversal of 11728946880 is 8864982711.

11728946880 is a `hidden beast` number, since 1 + 172 + 8 + 9 + 468 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5381631 + ... + 5383809.

Almost surely, 2^11728946880 is an apocalyptic number.

11728946880 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 11728946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23920704000).

11728946880 is an abundant number, since it is smaller than the sum of its proper divisors (36112461120).

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

11728946880 is a wasteful number, since it uses less digits than its factorization.

11728946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 11728946880 in words is "eleven billion, seven hundred twenty-eight million, nine hundred forty-six thousand, eight hundred eighty".