11971647072 has 1080 divisors, whose sum is σ = 48543568920. Its totient is φ = 2874009600.

The previous prime is 11971647047. The next prime is 11971647119. The reversal of 11971647072 is 27074617911.

11971647072 is a `hidden beast` number, since 11 + 97 + 16 + 470 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 291991372 + ... + 291991412.

It is an arithmetic number, because the mean of its divisors is an integer number (44947749).

Almost surely, 2^11971647072 is an apocalyptic number.

11971647072 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 11971647072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24271784460).

11971647072 is an abundant number, since it is smaller than the sum of its proper divisors (36571921848).

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

11971647072 is a wasteful number, since it uses less digits than its factorization.

11971647072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 11971647072 in words is "eleven billion, nine hundred seventy-one million, six hundred forty-seven thousand, seventy-two".