11593755648 has 264 divisors, whose sum is σ = 34924702176. Its totient is φ = 3701145600.

The previous prime is 11593755619. The next prime is 11593755653. The reversal of 11593755648 is 84655739511.

11593755648 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 3 + 75 + 564 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11593755594 and 11593755603.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23048965 + ... + 23049467.

Almost surely, 2^11593755648 is an apocalyptic number.

11593755648 is a gapful number since it is divisible by the number (18) 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 11593755648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17462351088).

11593755648 is an abundant number, since it is smaller than the sum of its proper divisors (23330946528).

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

11593755648 is a wasteful number, since it uses less digits than its factorization.

11593755648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 610 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The spelling of 11593755648 in words is "eleven billion, five hundred ninety-three million, seven hundred fifty-five thousand, six hundred forty-eight".