11961867672 has 64 divisors (see below), whose sum is σ = 33236352000. Its totient is φ = 3986216352.

The previous prime is 11961867649. The next prime is 11961867679. The reversal of 11961867672 is 27676816911.

11961867672 is a `hidden beast` number, since 1 + 19 + 618 + 6 + 7 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11961867679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1525153 + ... + 1532975.

It is an arithmetic number, because the mean of its divisors is an integer number (519318000).

Almost surely, 2^11961867672 is an apocalyptic number.

11961867672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11961867672 is an abundant number, since it is smaller than the sum of its proper divisors (21274484328).

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

11961867672 is a wasteful number, since it uses less digits than its factorization.

11961867672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14917 (or 14907 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The spelling of 11961867672 in words is "eleven billion, nine hundred sixty-one million, eight hundred sixty-seven thousand, six hundred seventy-two".