11928530880 has 448 divisors, whose sum is σ = 48502702080. Its totient is φ = 2703310848.

The previous prime is 11928530839. The next prime is 11928530959. The reversal of 11928530880 is 8803582911.

It is a happy number.

11928530880 is a `hidden beast` number, since 1 + 19 + 28 + 530 + 8 + 80 = 666.

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

It is a super-2 number, since 2×11928530880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 7680184 + ... + 7681736.

It is an arithmetic number, because the mean of its divisors is an integer number (108264960).

Almost surely, 2^11928530880 is an apocalyptic number.

11928530880 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 11928530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24251351040).

11928530880 is an abundant number, since it is smaller than the sum of its proper divisors (36574171200).

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

11928530880 is a wasteful number, since it uses less digits than its factorization.

11928530880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11928530880 in words is "eleven billion, nine hundred twenty-eight million, five hundred thirty thousand, eight hundred eighty".