13878134755056 has 1600 divisors, whose sum is σ = 50422917726720. Its totient is φ = 3626918830080.

The previous prime is 13878134755039. The next prime is 13878134755087. The reversal of 13878134755056 is 65055743187831.

13878134755056 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 81 + 3 + 47 + 5 + 505 + 6 = 666.

13878134755056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13878134755056² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13878134754984 and 13878134755002.

It is a congruent number.

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, 23642477995 + ... + 23642478581.

Almost surely, 2^{13878134755056} is an apocalyptic number.

13878134755056 is a gapful number since it is divisible by the number (16) 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 13878134755056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25211458863360).

13878134755056 is an abundant number, since it is smaller than the sum of its proper divisors (36544782971664).

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

13878134755056 is a wasteful number, since it uses less digits than its factorization.

13878134755056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 13878134755056 in words is "thirteen trillion, eight hundred seventy-eight billion, one hundred thirty-four million, seven hundred fifty-five thousand, fifty-six".