11564271936 has 448 divisors, whose sum is σ = 40941711360. Its totient is φ = 3129477120.

The previous prime is 11564271923. The next prime is 11564271949. The reversal of 11564271936 is 63917246511.

11564271936 is a `hidden beast` number, since 11 + 564 + 2 + 71 + 9 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (11564271923) and next prime (11564271949).

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 11564271891 and 11564271900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54806871 + ... + 54807081.

Almost surely, 2^11564271936 is an apocalyptic number.

11564271936 is a gapful number since it is divisible by the number (16) 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 11564271936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20470855680).

11564271936 is an abundant number, since it is smaller than the sum of its proper divisors (29377439424).

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

11564271936 is a wasteful number, since it uses less digits than its factorization.

11564271936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 443 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

It can be divided in two parts, 115642 and 71936, that added together give a triangular number (187578 = T₆₁₂).

The spelling of 11564271936 in words is "eleven billion, five hundred sixty-four million, two hundred seventy-one thousand, nine hundred thirty-six".