12115585777680 has 720 divisors, whose sum is σ = 52874993283840. Its totient is φ = 2430709585920.

The previous prime is 12115585777679. The next prime is 12115585777721. The reversal of 12115585777680 is 8677758551121.

12115585777680 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 5 + 58 + 577 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17342829 + ... + 18027891.

It is an arithmetic number, because the mean of its divisors is an integer number (73437490672).

Almost surely, 2^{12115585777680} is an apocalyptic number.

12115585777680 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 12115585777680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26437496641920).

12115585777680 is an abundant number, since it is smaller than the sum of its proper divisors (40759407506160).

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

12115585777680 is a wasteful number, since it uses less digits than its factorization.

12115585777680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685140 (or 685120 counting only the distinct ones).

The product of its (nonzero) digits is 32928000, while the sum is 63.

The spelling of 12115585777680 in words is "twelve trillion, one hundred fifteen billion, five hundred eighty-five million, seven hundred seventy-seven thousand, six hundred eighty".