13853785823280 has 1600 divisors, whose sum is σ = 56873377870848. Its totient is φ = 3093001666560.

The previous prime is 13853785823257. The next prime is 13853785823291. The reversal of 13853785823280 is 8232858735831.

It is a happy number.

13853785823280 is a `hidden beast` number, since 1 + 3 + 8 + 537 + 8 + 58 + 23 + 28 + 0 = 666.

13853785823280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13895471742 + ... + 13895472738.

Almost surely, 2^{13853785823280} is an apocalyptic number.

13853785823280 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 13853785823280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28436688935424).

13853785823280 is an abundant number, since it is smaller than the sum of its proper divisors (43019592047568).

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

13853785823280 is a wasteful number, since it uses less digits than its factorization.

13853785823280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 13853785823280 in words is "thirteen trillion, eight hundred fifty-three billion, seven hundred eighty-five million, eight hundred twenty-three thousand, two hundred eighty".