11984771835072 has 336 divisors, whose sum is σ = 35970098516352. Its totient is φ = 3956228075520.

The previous prime is 11984771835041. The next prime is 11984771835073. The reversal of 11984771835072 is 27053817748911.

11984771835072 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 47 + 7 + 1 + 83 + 507 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (11984771835073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2929543747 + ... + 2929547837.

It is an arithmetic number, because the mean of its divisors is an integer number (107053864632).

Almost surely, 2^{11984771835072} is an apocalyptic number.

11984771835072 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 11984771835072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17985049258176).

11984771835072 is an abundant number, since it is smaller than the sum of its proper divisors (23985326681280).

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

11984771835072 is a wasteful number, since it uses less digits than its factorization.

11984771835072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5898 (or 5876 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 63.

The spelling of 11984771835072 in words is "eleven trillion, nine hundred eighty-four billion, seven hundred seventy-one million, eight hundred thirty-five thousand, seventy-two".