11530874880 has 624 divisors, whose sum is σ = 47513566464. Its totient is φ = 2627665920.

The previous prime is 11530874867. The next prime is 11530874897. The reversal of 11530874880 is 8847803511.

It is a happy number.

It is a super-2 number, since 2×11530874880² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34836315 + ... + 34836645.

It is an arithmetic number, because the mean of its divisors is an integer number (76143536).

Almost surely, 2^11530874880 is an apocalyptic number.

11530874880 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 11530874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23756783232).

11530874880 is an abundant number, since it is smaller than the sum of its proper divisors (35982691584).

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

11530874880 is an frugal number, since it uses more digits than its factorization.

11530874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 11530874880 in words is "eleven billion, five hundred thirty million, eight hundred seventy-four thousand, eight hundred eighty".