11530961280 has 384 divisors, whose sum is σ = 43401204000. Its totient is φ = 2892791808.

The previous prime is 11530961257. The next prime is 11530961287. The reversal of 11530961280 is 8216903511.

11530961280 is a `hidden beast` number, since 1 + 1 + 5 + 30 + 9 + 612 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11530961287) by changing a digit.

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, 4992766 + ... + 4995074.

Almost surely, 2^11530961280 is an apocalyptic number.

11530961280 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 11530961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21700602000).

11530961280 is an abundant number, since it is smaller than the sum of its proper divisors (31870242720).

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

11530961280 is a wasteful number, since it uses less digits than its factorization.

11530961280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11530961280 in words is "eleven billion, five hundred thirty million, nine hundred sixty-one thousand, two hundred eighty".