11559753648 has 100 divisors (see below), whose sum is σ = 33506032560. Its totient is φ = 3847637376.

The previous prime is 11559753641. The next prime is 11559753659. The reversal of 11559753648 is 84635795511.

11559753648 is a `hidden beast` number, since 1 + 1 + 5 + 597 + 5 + 3 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11559753594 and 11559753603.

It is not an unprimeable number, because it can be changed into a prime (11559753641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 936058 + ... + 948326.

Almost surely, 2^11559753648 is an apocalyptic number.

11559753648 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 11559753648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16753016280).

11559753648 is an abundant number, since it is smaller than the sum of its proper divisors (21946278912).

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

11559753648 is a wasteful number, since it uses less digits than its factorization.

11559753648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13016 (or 13001 counting only the distinct ones).

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

The spelling of 11559753648 in words is "eleven billion, five hundred fifty-nine million, seven hundred fifty-three thousand, six hundred forty-eight".