20442552544000 has 288 divisors, whose sum is σ = 51481053239616. Its totient is φ = 8088160665600.

The previous prime is 20442552543977. The next prime is 20442552544003. The reversal of 20442552544000 is 44525524402.

It is not an unprimeable number, because it can be changed into a prime (20442552544003) 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 31 ways as a sum of consecutive naturals, for example, 1240663762 + ... + 1240680238.

It is an arithmetic number, because the mean of its divisors is an integer number (178753657082).

Almost surely, 2^{20442552544000} is an apocalyptic number.

20442552544000 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 20442552544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25740526619808).

20442552544000 is an abundant number, since it is smaller than the sum of its proper divisors (31038500695616).

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

20442552544000 is a wasteful number, since it uses less digits than its factorization.

20442552544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16928 (or 16904 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 37.

The spelling of 20442552544000 in words is "twenty trillion, four hundred forty-two billion, five hundred fifty-two million, five hundred forty-four thousand".