20126406576 has 80 divisors (see below), whose sum is σ = 52818048000. Its totient is φ = 6602559744.

The previous prime is 20126406563. The next prime is 20126406617. The reversal of 20126406576 is 67560462102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4625650 + ... + 4629998.

It is an arithmetic number, because the mean of its divisors is an integer number (660225600).

Almost surely, 2^20126406576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20126406576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26409024000).

20126406576 is an abundant number, since it is smaller than the sum of its proper divisors (32691641424).

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

20126406576 is a wasteful number, since it uses less digits than its factorization.

20126406576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5866 (or 5860 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

Adding to 20126406576 its reverse (67560462102), we get a palindrome (87686868678).

The spelling of 20126406576 in words is "twenty billion, one hundred twenty-six million, four hundred six thousand, five hundred seventy-six".