20429784204192 has 288 divisors, whose sum is σ = 63996900012864. Its totient is φ = 6130510848000.

The previous prime is 20429784204173. The next prime is 20429784204251. The reversal of 20429784204192 is 29140248792402.

20429784204192 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 97 + 8 + 420 + 41 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 949461018 + ... + 949482534.

It is an arithmetic number, because the mean of its divisors is an integer number (222211458378).

Almost surely, 2^{20429784204192} is an apocalyptic number.

20429784204192 is a gapful number since it is divisible by the number (22) 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 20429784204192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31998450006432).

20429784204192 is an abundant number, since it is smaller than the sum of its proper divisors (43567115808672).

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

20429784204192 is a wasteful number, since it uses less digits than its factorization.

20429784204192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24452 (or 24441 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 20429784204192 in words is "twenty trillion, four hundred twenty-nine billion, seven hundred eighty-four million, two hundred four thousand, one hundred ninety-two".