20427806880000 has 2880 divisors, whose sum is σ = 84801409862400. Its totient is φ = 4817387520000.

The previous prime is 20427806879981. The next prime is 20427806880043. The reversal of 20427806880000 is 8860872402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 229525919956 + ... + 229525920044.

It is an arithmetic number, because the mean of its divisors is an integer number (29444933980).

Almost surely, 2^{20427806880000} is an apocalyptic number.

20427806880000 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 20427806880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42400704931200).

20427806880000 is an abundant number, since it is smaller than the sum of its proper divisors (64373602982400).

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

20427806880000 is an equidigital number, since it uses as much as digits as its factorization.

20427806880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 20427806880000 in words is "twenty trillion, four hundred twenty-seven billion, eight hundred six million, eight hundred eighty thousand".