11653736960 has 80 divisors (see below), whose sum is σ = 28051961256. Its totient is φ = 4643094528.

The previous prime is 11653736921. The next prime is 11653736987. The reversal of 11653736960 is 6963735611.

It can be written as a sum of positive squares in 4 ways, for example, as 11454136576 + 199600384 = 107024^2 + 14128^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 649064 + ... + 666776.

Almost surely, 2^11653736960 is an apocalyptic number.

11653736960 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 11653736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14025980628).

11653736960 is an abundant number, since it is smaller than the sum of its proper divisors (16398224296).

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

11653736960 is an equidigital number, since it uses as much as digits as its factorization.

11653736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17993 (or 17977 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 47.

The spelling of 11653736960 in words is "eleven billion, six hundred fifty-three million, seven hundred thirty-six thousand, nine hundred sixty".