11594450560 has 768 divisors, whose sum is σ = 38930544000. Its totient is φ = 3251404800.

The previous prime is 11594450533. The next prime is 11594450561. The reversal of 11594450560 is 6505449511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11594450561) 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 95 ways as a sum of consecutive naturals, for example, 190072930 + ... + 190072990.

Almost surely, 2^11594450560 is an apocalyptic number.

11594450560 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 11594450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19465272000).

11594450560 is an abundant number, since it is smaller than the sum of its proper divisors (27336093440).

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

11594450560 is a wasteful number, since it uses less digits than its factorization.

11594450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

The spelling of 11594450560 in words is "eleven billion, five hundred ninety-four million, four hundred fifty thousand, five hundred sixty".