11005447680 has 240 divisors, whose sum is σ = 38225794464. Its totient is φ = 2926264320.

The previous prime is 11005447669. The next prime is 11005447697. The reversal of 11005447680 is 8674450011.

It is a happy number.

11005447680 is a `hidden beast` number, since 1 + 100 + 5 + 4 + 476 + 80 = 666.

11005447680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11005447680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14537862 + ... + 14538618.

Almost surely, 2^11005447680 is an apocalyptic number.

11005447680 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 11005447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19112897232).

11005447680 is an abundant number, since it is smaller than the sum of its proper divisors (27220346784).

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

11005447680 is an equidigital number, since it uses as much as digits as its factorization.

11005447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 11005447680 its reverse (8674450011), we get a palindrome (19679897691).

The spelling of 11005447680 in words is "eleven billion, five million, four hundred forty-seven thousand, six hundred eighty".