20129262426 has 384 divisors, whose sum is σ = 59325235200. Its totient is φ = 5006655360.

The previous prime is 20129262407. The next prime is 20129262427. The reversal of 20129262426 is 62426292102.

It is a happy number.

20129262426 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 9 + 2 + 624 + 26 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20129262427) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 45852315 + ... + 45852753.

It is an arithmetic number, because the mean of its divisors is an integer number (154492800).

Almost surely, 2^20129262426 is an apocalyptic number.

20129262426 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20129262426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29662617600).

20129262426 is an abundant number, since it is smaller than the sum of its proper divisors (39195972774).

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

20129262426 is a wasteful number, since it uses less digits than its factorization.

20129262426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 20129262426 in words is "twenty billion, one hundred twenty-nine million, two hundred sixty-two thousand, four hundred twenty-six".