20042365908096 has 768 divisors, whose sum is σ = 72355696588800. Its totient is φ = 5348427356160.

The previous prime is 20042365908083. The next prime is 20042365908137. The reversal of 20042365908096 is 69080956324002.

It is a happy number.

20042365908096 is a `hidden beast` number, since 2 + 0 + 0 + 42 + 3 + 6 + 590 + 8 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 620048991 + ... + 620081313.

It is an arithmetic number, because the mean of its divisors is an integer number (94213146600).

Almost surely, 2^{20042365908096} 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 20042365908096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36177848294400).

20042365908096 is an abundant number, since it is smaller than the sum of its proper divisors (52313330680704).

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

20042365908096 is a wasteful number, since it uses less digits than its factorization.

20042365908096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32462 (or 32425 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 20042365908096 in words is "twenty trillion, forty-two billion, three hundred sixty-five million, nine hundred eight thousand, ninety-six".