11871977472 has 264 divisors, whose sum is σ = 37295742276. Its totient is φ = 3623878656.

The previous prime is 11871977407. The next prime is 11871977479. The reversal of 11871977472 is 27477917811.

11871977472 is a `hidden beast` number, since 1 + 1 + 87 + 1 + 97 + 7 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10277093376 + 1594884096 = 101376^2 + 39936^2 .

It is not an unprimeable number, because it can be changed into a prime (11871977479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 320864238 + ... + 320864274.

Almost surely, 2^11871977472 is an apocalyptic number.

11871977472 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 11871977472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18647871138).

11871977472 is an abundant number, since it is smaller than the sum of its proper divisors (25423764804).

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

11871977472 is an frugal number, since it uses more digits than its factorization.

11871977472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 59 counting only the distinct ones).

The product of its digits is 1382976, while the sum is 54.

The spelling of 11871977472 in words is "eleven billion, eight hundred seventy-one million, nine hundred seventy-seven thousand, four hundred seventy-two".