20947778841600 has 2112 divisors, whose sum is σ = 88852024356480. Its totient is φ = 4850193530880.

The previous prime is 20947778841569. The next prime is 20947778841611. The reversal of 20947778841600 is 614887774902.

20947778841600 is a `hidden beast` number, since 2 + 0 + 9 + 477 + 78 + 84 + 16 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12373170354 + ... + 12373172046.

It is an arithmetic number, because the mean of its divisors is an integer number (42070087290).

Almost surely, 2^{20947778841600} is an apocalyptic number.

20947778841600 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 20947778841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44426012178240).

20947778841600 is an abundant number, since it is smaller than the sum of its proper divisors (67904245514880).

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

20947778841600 is a wasteful number, since it uses less digits than its factorization.

20947778841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 20947778841600 in words is "twenty trillion, nine hundred forty-seven billion, seven hundred seventy-eight million, eight hundred forty-one thousand, six hundred".