11779073579880 has 320 divisors, whose sum is σ = 40889157281280. Its totient is φ = 3038179622400.

The previous prime is 11779073579879. The next prime is 11779073579927. The reversal of 11779073579880 is 8897537097711.

11779073579880 is a `hidden beast` number, since 117 + 79 + 0 + 7 + 357 + 98 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11779073579799 and 11779073579808.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 199544770 + ... + 199603790.

It is an arithmetic number, because the mean of its divisors is an integer number (127778616504).

Almost surely, 2^{11779073579880} is an apocalyptic number.

11779073579880 is a gapful number since it is divisible by the number (10) 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 11779073579880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20444578640640).

11779073579880 is an abundant number, since it is smaller than the sum of its proper divisors (29110083701400).

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

11779073579880 is a wasteful number, since it uses less digits than its factorization.

11779073579880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61062 (or 61049 counting only the distinct ones).

The product of its (nonzero) digits is 186701760, while the sum is 72.

The spelling of 11779073579880 in words is "eleven trillion, seven hundred seventy-nine billion, seventy-three million, five hundred seventy-nine thousand, eight hundred eighty".