20683583442000 has 400 divisors, whose sum is σ = 74724732502992. Its totient is φ = 5514581606400.

The previous prime is 20683583441993. The next prime is 20683583442001. The reversal of 20683583442000 is 24438538602.

20683583442000 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 3 + 583 + 44 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9558930429504 + 11124653012496 = 3091752^2 + 3335364^2 .

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20683583442001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1275417892 + ... + 1275434108.

Almost surely, 2^{20683583442000} is an apocalyptic number.

20683583442000 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 20683583442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37362366251496).

20683583442000 is an abundant number, since it is smaller than the sum of its proper divisors (54041149060992).

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

20683583442000 is a wasteful number, since it uses less digits than its factorization.

20683583442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24125 (or 24100 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 20683583442000 in words is "twenty trillion, six hundred eighty-three billion, five hundred eighty-three million, four hundred forty-two thousand".