11493580320 has 384 divisors, whose sum is σ = 44841081600. Its totient is φ = 2732507136.

The previous prime is 11493580279. The next prime is 11493580321. The reversal of 11493580320 is 2308539411.

11493580320 is a `hidden beast` number, since 1 + 1 + 49 + 3 + 580 + 32 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11493580321) 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 63 ways as a sum of consecutive naturals, for example, 1391242 + ... + 1399478.

It is an arithmetic number, because the mean of its divisors is an integer number (116773650).

Almost surely, 2^11493580320 is an apocalyptic number.

11493580320 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 11493580320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22420540800).

11493580320 is an abundant number, since it is smaller than the sum of its proper divisors (33347501280).

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

11493580320 is a wasteful number, since it uses less digits than its factorization.

11493580320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8297 (or 8283 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11493580320 in words is "eleven billion, four hundred ninety-three million, five hundred eighty thousand, three hundred twenty".