11771256960 has 960 divisors, whose sum is σ = 48245618520. Its totient is φ = 2723217408.

The previous prime is 11771256949. The next prime is 11771256967. The reversal of 11771256960 is 6965217711.

11771256960 is a `hidden beast` number, since 1 + 1 + 77 + 12 + 569 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11679557184 + 91699776 = 108072^2 + 9576^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11771256967) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 318142062 + ... + 318142098.

Almost surely, 2^11771256960 is an apocalyptic number.

11771256960 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 11771256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24122809260).

11771256960 is an abundant number, since it is smaller than the sum of its proper divisors (36474361560).

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

11771256960 is a wasteful number, since it uses less digits than its factorization.

11771256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 11771256960 in words is "eleven billion, seven hundred seventy-one million, two hundred fifty-six thousand, nine hundred sixty".