11506565672 has 64 divisors (see below), whose sum is σ = 25914470400. Its totient is φ = 4682969280.

The previous prime is 11506565671. The next prime is 11506565713. The reversal of 11506565672 is 27656560511.

It is a super-3 number, since 3×11506565672³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11506565671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146897 + ... + 211167.

It is an arithmetic number, because the mean of its divisors is an integer number (404913600).

Almost surely, 2^11506565672 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 11506565672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12957235200).

11506565672 is an abundant number, since it is smaller than the sum of its proper divisors (14407904728).

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

11506565672 is a wasteful number, since it uses less digits than its factorization.

11506565672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64446 (or 64442 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 44.

The spelling of 11506565672 in words is "eleven billion, five hundred six million, five hundred sixty-five thousand, six hundred seventy-two".