20542382252064 has 288 divisors, whose sum is σ = 62682748128000. Its totient is φ = 6358786301952.

The previous prime is 20542382251927. The next prime is 20542382252069. The reversal of 20542382252064 is 46025228324502.

20542382252064 is a `hidden beast` number, since 2 + 0 + 5 + 42 + 3 + 8 + 22 + 520 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (20542382252069) by changing a digit.

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, 127465167 + ... + 127626225.

It is an arithmetic number, because the mean of its divisors is an integer number (217648431000).

Almost surely, 2^{20542382252064} is an apocalyptic number.

20542382252064 is a gapful number since it is divisible by the number (24) 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 20542382252064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31341374064000).

20542382252064 is an abundant number, since it is smaller than the sum of its proper divisors (42140365875936).

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

20542382252064 is a wasteful number, since it uses less digits than its factorization.

20542382252064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161440 (or 161429 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 20542382252064 in words is "twenty trillion, five hundred forty-two billion, three hundred eighty-two million, two hundred fifty-two thousand, sixty-four".