20812401792000 has 5632 divisors, whose sum is σ = 103232627097600. Its totient is φ = 4063327027200.

The previous prime is 20812401791983. The next prime is 20812401792071. The reversal of 20812401792000 is 29710421802.

20812401792000 is a `hidden beast` number, since 208 + 1 + 240 + 1 + 7 + 9 + 200 + 0 = 666.

It is a super-2 number, since 2×20812401792000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 511 ways as a sum of consecutive naturals, for example, 484009343979 + ... + 484009344021.

It is an arithmetic number, because the mean of its divisors is an integer number (18329656800).

Almost surely, 2^{20812401792000} is an apocalyptic number.

20812401792000 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 20812401792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51616313548800).

20812401792000 is an abundant number, since it is smaller than the sum of its proper divisors (82420225305600).

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

20812401792000 is an equidigital number, since it uses as much as digits as its factorization.

20812401792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 20812401792000 in words is "twenty trillion, eight hundred twelve billion, four hundred one million, seven hundred ninety-two thousand".