11982516017472 has 2688 divisors, whose sum is σ = 49976725413888. Its totient is φ = 2746508083200.

The previous prime is 11982516017453. The next prime is 11982516017501. The reversal of 11982516017472 is 27471061528911.

11982516017472 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 2 + 5 + 160 + 1 + 7 + 472 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 40895958958 + ... + 40895959250.

It is an arithmetic number, because the mean of its divisors is an integer number (18592531776).

Almost surely, 2^{11982516017472} is an apocalyptic number.

11982516017472 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 11982516017472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24988362706944).

11982516017472 is an abundant number, since it is smaller than the sum of its proper divisors (37994209396416).

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

11982516017472 is a wasteful number, since it uses less digits than its factorization.

11982516017472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 11982516017472 in words is "eleven trillion, nine hundred eighty-two billion, five hundred sixteen million, seventeen thousand, four hundred seventy-two".