11563511652 has 216 divisors, whose sum is σ = 36838046336. Its totient is φ = 2993760000.

The previous prime is 11563511621. The next prime is 11563511677. The reversal of 11563511652 is 25611536511.

11563511652 is a `hidden beast` number, since 1 + 1 + 5 + 635 + 1 + 16 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18325377 + ... + 18326007.

Almost surely, 2^11563511652 is an apocalyptic number.

11563511652 is a gapful number since it is divisible by the number (12) 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 11563511652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18419023168).

11563511652 is an abundant number, since it is smaller than the sum of its proper divisors (25274534684).

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

11563511652 is a wasteful number, since it uses less digits than its factorization.

11563511652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1255 counting only the distinct ones).

The product of its digits is 27000, while the sum is 36.

The spelling of 11563511652 in words is "eleven billion, five hundred sixty-three million, five hundred eleven thousand, six hundred fifty-two".