11879737378880 has 224 divisors, whose sum is σ = 32644636442880. Its totient is φ = 4033437327360.

The previous prime is 11879737378801. The next prime is 11879737378903. The reversal of 11879737378880 is 8887373797811.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×11879737378880² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471948695 + ... + 471973865.

It is an arithmetic number, because the mean of its divisors is an integer number (145734984120).

Almost surely, 2^{11879737378880} is an apocalyptic number.

11879737378880 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 11879737378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16322318221440).

11879737378880 is an abundant number, since it is smaller than the sum of its proper divisors (20764899064000).

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

11879737378880 is a wasteful number, since it uses less digits than its factorization.

11879737378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27237 (or 27227 counting only the distinct ones).

The product of its (nonzero) digits is 796594176, while the sum is 77.

The spelling of 11879737378880 in words is "eleven trillion, eight hundred seventy-nine billion, seven hundred thirty-seven million, three hundred seventy-eight thousand, eight hundred eighty".