20812185792000 has 640 divisors, whose sum is σ = 79364006092800. Its totient is φ = 5370872832000.

The previous prime is 20812185791987. The next prime is 20812185792007. The reversal of 20812185792000 is 29758121802.

It is a tau number, because it is divible by the number of its divisors (640).

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 (20812185792007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53373741 + ... + 53762259.

It is an arithmetic number, because the mean of its divisors is an integer number (124006259520).

Almost surely, 2^{20812185792000} is an apocalyptic number.

20812185792000 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 20812185792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39682003046400).

20812185792000 is an abundant number, since it is smaller than the sum of its proper divisors (58551820300800).

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

20812185792000 is an equidigital number, since it uses as much as digits as its factorization.

20812185792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388592 (or 388560 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 20812185792000 in words is "twenty trillion, eight hundred twelve billion, one hundred eighty-five million, seven hundred ninety-two thousand".