13847172007680 has 2160 divisors, whose sum is σ = 57772178100000. Its totient is φ = 3049941565440.

The previous prime is 13847172007673. The next prime is 13847172007681. The reversal of 13847172007680 is 8670027174831.

13847172007680 is a `hidden beast` number, since 1 + 3 + 8 + 471 + 7 + 20 + 0 + 76 + 80 = 666.

It is a super-2 number, since 2×13847172007680² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13847172007681) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 92934040246 + ... + 92934040394.

It is an arithmetic number, because the mean of its divisors is an integer number (26746378750).

Almost surely, 2^{13847172007680} is an apocalyptic number.

13847172007680 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 13847172007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28886089050000).

13847172007680 is an abundant number, since it is smaller than the sum of its proper divisors (43925006092320).

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

13847172007680 is a wasteful number, since it uses less digits than its factorization.

13847172007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 13847172007680 in words is "thirteen trillion, eight hundred forty-seven billion, one hundred seventy-two million, seven thousand, six hundred eighty".