20434208256000 has 3744 divisors, whose sum is σ = 96574390548480. Its totient is φ = 4192321536000.

The previous prime is 20434208255999. The next prime is 20434208256073. The reversal of 20434208256000 is 65280243402.

20434208256000 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 4 + 20 + 8 + 25 + 600 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 258660863961 + ... + 258660864039.

It is an arithmetic number, because the mean of its divisors is an integer number (25794441920).

Almost surely, 2^{20434208256000} is an apocalyptic number.

20434208256000 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 20434208256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48287195274240).

20434208256000 is an abundant number, since it is smaller than the sum of its proper divisors (76140182292480).

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

20434208256000 is an frugal number, since it uses more digits than its factorization.

20434208256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 20434208256000 its reverse (65280243402), we get a palindrome (20499488499402).

The spelling of 20434208256000 in words is "twenty trillion, four hundred thirty-four billion, two hundred eight million, two hundred fifty-six thousand".