20378185016256 has 336 divisors, whose sum is σ = 61236463841280. Its totient is φ = 6471056148480.

The previous prime is 20378185016201. The next prime is 20378185016263. The reversal of 20378185016256 is 65261058187302.

20378185016256 is a `hidden beast` number, since 2 + 0 + 3 + 7 + 8 + 1 + 8 + 5 + 0 + 1 + 625 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2044560585 + ... + 2044570551.

It is an arithmetic number, because the mean of its divisors is an integer number (182251380480).

Almost surely, 2^{20378185016256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20378185016256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30618231920640).

20378185016256 is an abundant number, since it is smaller than the sum of its proper divisors (40858278825024).

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

20378185016256 is a wasteful number, since it uses less digits than its factorization.

20378185016256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11792 (or 11779 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 20378185016256 in words is "twenty trillion, three hundred seventy-eight billion, one hundred eighty-five million, sixteen thousand, two hundred fifty-six".