11779197945984 has 960 divisors, whose sum is σ = 41345355411360. Its totient is φ = 3318968991744.

The previous prime is 11779197945871. The next prime is 11779197946001. The reversal of 11779197945984 is 48954979197711.

11779197945984 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 9 + 19 + 7 + 9 + 4 + 598 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18319125567 + ... + 18319126209.

Almost surely, 2^{11779197945984} is an apocalyptic number.

11779197945984 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 11779197945984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20672677705680).

11779197945984 is an abundant number, since it is smaller than the sum of its proper divisors (29566157465376).

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

11779197945984 is a wasteful number, since it uses less digits than its factorization.

11779197945984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1099 counting only the distinct ones).

The product of its digits is 1440270720, while the sum is 81.

The spelling of 11779197945984 in words is "eleven trillion, seven hundred seventy-nine billion, one hundred ninety-seven million, nine hundred forty-five thousand, nine hundred eighty-four".