20442282907680 has 576 divisors, whose sum is σ = 75615853622400. Its totient is φ = 5011436666880.

The previous prime is 20442282907679. The next prime is 20442282907691. The reversal of 20442282907680 is 8670928224402.

20442282907680 is a `hidden beast` number, since 20 + 44 + 228 + 290 + 76 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383642640 + ... + 383695920.

It is an arithmetic number, because the mean of its divisors is an integer number (131277523650).

Almost surely, 2^{20442282907680} is an apocalyptic number.

20442282907680 is a gapful number since it is divisible by the number (20) 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 20442282907680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37807926811200).

20442282907680 is an abundant number, since it is smaller than the sum of its proper divisors (55173570714720).

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

20442282907680 is a wasteful number, since it uses less digits than its factorization.

20442282907680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53737 (or 53726 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 20442282907680 in words is "twenty trillion, four hundred forty-two billion, two hundred eighty-two million, nine hundred seven thousand, six hundred eighty".