13823245255680 has 1056 divisors, whose sum is σ = 56601694076928. Its totient is φ = 3052471910400.

The previous prime is 13823245255627. The next prime is 13823245255697. The reversal of 13823245255680 is 8655254232831.

13823245255680 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 3 + 2 + 4 + 5 + 2 + 556 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11229280665 + ... + 11229281895.

It is an arithmetic number, because the mean of its divisors is an integer number (53600089088).

Almost surely, 2^{13823245255680} is an apocalyptic number.

13823245255680 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 13823245255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28300847038464).

13823245255680 is an abundant number, since it is smaller than the sum of its proper divisors (42778448821248).

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

13823245255680 is a wasteful number, since it uses less digits than its factorization.

13823245255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 13823245255680 in words is "thirteen trillion, eight hundred twenty-three billion, two hundred forty-five million, two hundred fifty-five thousand, six hundred eighty".