13778381084220 has 144 divisors (see below), whose sum is σ = 43613088809472. Its totient is φ = 3514363332480.

The previous prime is 13778381084213. The next prime is 13778381084341. The reversal of 13778381084220 is 2248018387731.

13778381084220 is a `hidden beast` number, since 1 + 37 + 7 + 8 + 381 + 0 + 8 + 4 + 220 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219401025 + ... + 219463815.

It is an arithmetic number, because the mean of its divisors is an integer number (302868672288).

Almost surely, 2^{13778381084220} is an apocalyptic number.

13778381084220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13778381084220 is an abundant number, since it is smaller than the sum of its proper divisors (29834707725252).

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

13778381084220 is a wasteful number, since it uses less digits than its factorization.

13778381084220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115832 (or 115827 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 13778381084220 in words is "thirteen trillion, seven hundred seventy-eight billion, three hundred eighty-one million, eighty-four thousand, two hundred twenty".