11720640960 has 672 divisors, whose sum is σ = 49869181440. Its totient is φ = 2466422784.

The previous prime is 11720640959. The next prime is 11720641003. The reversal of 11720640960 is 6904602711.

11720640960 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 0 + 640 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14172067 + ... + 14172893.

Almost surely, 2^11720640960 is an apocalyptic number.

11720640960 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 11720640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24934590720).

11720640960 is an abundant number, since it is smaller than the sum of its proper divisors (38148540480).

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

11720640960 is a wasteful number, since it uses less digits than its factorization.

11720640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11720640960 in words is "eleven billion, seven hundred twenty million, six hundred forty thousand, nine hundred sixty".