11360967672 has 64 divisors (see below), whose sum is σ = 30152908800. Its totient is φ = 3554772480.

The previous prime is 11360967661. The next prime is 11360967677. The reversal of 11360967672 is 27676906311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11360967677) 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, 117897 + ... + 191367.

It is an arithmetic number, because the mean of its divisors is an integer number (471139200).

Almost surely, 2^11360967672 is an apocalyptic number.

11360967672 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 11360967672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15076454400).

11360967672 is an abundant number, since it is smaller than the sum of its proper divisors (18791941128).

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

11360967672 is a wasteful number, since it uses less digits than its factorization.

11360967672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73876 (or 73872 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 11360967672 in words is "eleven billion, three hundred sixty million, nine hundred sixty-seven thousand, six hundred seventy-two".