20018106188256 has 288 divisors, whose sum is σ = 60517285315200. Its totient is φ = 5745226152960.

The previous prime is 20018106188219. The next prime is 20018106188279. The reversal of 20018106188256 is 65288160181002.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2435584915 + ... + 2435593133.

It is an arithmetic number, because the mean of its divisors is an integer number (210129462900).

Almost surely, 2^{20018106188256} 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 20018106188256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30258642657600).

20018106188256 is an abundant number, since it is smaller than the sum of its proper divisors (40499179126944).

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

20018106188256 is a wasteful number, since it uses less digits than its factorization.

20018106188256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14670 (or 14643 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The spelling of 20018106188256 in words is "twenty trillion, eighteen billion, one hundred six million, one hundred eighty-eight thousand, two hundred fifty-six".