11636056960 has 384 divisors, whose sum is σ = 32818867200. Its totient is φ = 3932712960.

The previous prime is 11636056951. The next prime is 11636056967. The reversal of 11636056960 is 6965063611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11636056967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83712571 + ... + 83712709.

It is an arithmetic number, because the mean of its divisors is an integer number (85465800).

Almost surely, 2^11636056960 is an apocalyptic number.

11636056960 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 11636056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16409433600).

11636056960 is an abundant number, since it is smaller than the sum of its proper divisors (21182810240).

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

11636056960 is a wasteful number, since it uses less digits than its factorization.

11636056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The spelling of 11636056960 in words is "eleven billion, six hundred thirty-six million, fifty-six thousand, nine hundred sixty".