11970249984 has 1008 divisors, whose sum is σ = 48256387200. Its totient is φ = 2926264320.

The previous prime is 11970249961. The next prime is 11970250031. The reversal of 11970249984 is 48994207911.

11970249984 is a `hidden beast` number, since 1 + 1 + 9 + 70 + 2 + 499 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11970249984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 704132344 + ... + 704132360.

It is an arithmetic number, because the mean of its divisors is an integer number (47873400).

Almost surely, 2^11970249984 is an apocalyptic number.

11970249984 is a gapful number since it is divisible by the number (14) 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 11970249984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24128193600).

11970249984 is an abundant number, since it is smaller than the sum of its proper divisors (36286137216).

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

11970249984 is an frugal number, since it uses more digits than its factorization.

11970249984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 11970249984 in words is "eleven billion, nine hundred seventy million, two hundred forty-nine thousand, nine hundred eighty-four".