20326783680000 has 3200 divisors, whose sum is σ = 92551873920000. Its totient is φ = 4401589248000.

The previous prime is 20326783679989. The next prime is 20326783680001. The reversal of 20326783680000 is 8638762302.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

20326783680000 is a `hidden beast` number, since 20 + 3 + 267 + 8 + 368 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

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 (20326783680001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1069830719991 + ... + 1069830720009.

It is an arithmetic number, because the mean of its divisors is an integer number (28922460600).

Almost surely, 2^{20326783680000} is an apocalyptic number.

20326783680000 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 20326783680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46275936960000).

20326783680000 is an abundant number, since it is smaller than the sum of its proper divisors (72225090240000).

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

20326783680000 is an frugal number, since it uses more digits than its factorization.

20326783680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 20326783680000 in words is "twenty trillion, three hundred twenty-six billion, seven hundred eighty-three million, six hundred eighty thousand".