20626424000910 has 288 divisors, whose sum is σ = 67202015942880. Its totient is φ = 4350730599936.

The previous prime is 20626424000869. The next prime is 20626424000921. The reversal of 20626424000910 is 1900042462602.

20626424000910 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 642 + 4 + 0 + 0 + 0 + 9 + 1 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 212588469 + ... + 212685471.

It is an arithmetic number, because the mean of its divisors is an integer number (233340333135).

Almost surely, 2^{20626424000910} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20626424000910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33601007971440).

20626424000910 is an abundant number, since it is smaller than the sum of its proper divisors (46575591941970).

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

20626424000910 is a wasteful number, since it uses less digits than its factorization.

20626424000910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100752 (or 100742 counting only the distinct ones).

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

The spelling of 20626424000910 in words is "twenty trillion, six hundred twenty-six billion, four hundred twenty-four million, nine hundred ten", and thus it is an aban number.