12355671998880 has 960 divisors, whose sum is σ = 52167489454080. Its totient is φ = 2694514636800.

The previous prime is 12355671998869. The next prime is 12355671998909. The reversal of 12355671998880 is 8889917655321.

12355671998880 is a `hidden beast` number, since 1 + 2 + 355 + 6 + 7 + 199 + 8 + 8 + 80 = 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 = 12355671998799 and 12355671998808.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 199643781 + ... + 199705659.

It is an arithmetic number, because the mean of its divisors is an integer number (54341134848).

Almost surely, 2^{12355671998880} is an apocalyptic number.

12355671998880 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 12355671998880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26083744727040).

12355671998880 is an abundant number, since it is smaller than the sum of its proper divisors (39811817455200).

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

12355671998880 is a wasteful number, since it uses less digits than its factorization.

12355671998880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62015 (or 61998 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 72.

The spelling of 12355671998880 in words is "twelve trillion, three hundred fifty-five billion, six hundred seventy-one million, nine hundred ninety-eight thousand, eight hundred eighty".