11597225472 has 480 divisors, whose sum is σ = 40854528000. Its totient is φ = 3093479424.

The previous prime is 11597225459. The next prime is 11597225533. The reversal of 11597225472 is 27452279511.

11597225472 is a `hidden beast` number, since 1 + 1 + 597 + 2 + 2 + 54 + 7 + 2 = 666.

11597225472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77833654 + ... + 77833802.

It is an arithmetic number, because the mean of its divisors is an integer number (85113600).

Almost surely, 2^11597225472 is an apocalyptic number.

11597225472 is a gapful number since it is divisible by the number (12) 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 11597225472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20427264000).

11597225472 is an abundant number, since it is smaller than the sum of its proper divisors (29257302528).

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

11597225472 is a wasteful number, since it uses less digits than its factorization.

11597225472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 307 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The spelling of 11597225472 in words is "eleven billion, five hundred ninety-seven million, two hundred twenty-five thousand, four hundred seventy-two".