11532861576 has 96 divisors (see below), whose sum is σ = 31499788320. Its totient is φ = 3811795200.

The previous prime is 11532861497. The next prime is 11532861581. The reversal of 11532861576 is 67516823511.

11532861576 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 28 + 615 + 7 + 6 = 666.

It is a super-2 number, since 2×11532861576² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6700396 + ... + 6702116.

It is an arithmetic number, because the mean of its divisors is an integer number (328122795).

Almost surely, 2^11532861576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11532861576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15749894160).

11532861576 is an abundant number, since it is smaller than the sum of its proper divisors (19966926744).

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

11532861576 is a wasteful number, since it uses less digits than its factorization.

11532861576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467 (or 2460 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 11532861576 in words is "eleven billion, five hundred thirty-two million, eight hundred sixty-one thousand, five hundred seventy-six".