20126008745328 has 160 divisors (see below), whose sum is σ = 53089170647040. Its totient is φ = 6568524748800.

The previous prime is 20126008745317. The next prime is 20126008745371. The reversal of 20126008745328 is 82354780062102.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 837559618 + ... + 837583646.

It is an arithmetic number, because the mean of its divisors is an integer number (331807316544).

Almost surely, 2^{20126008745328} 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 20126008745328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26544585323520).

20126008745328 is an abundant number, since it is smaller than the sum of its proper divisors (32963161901712).

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

20126008745328 is a wasteful number, since it uses less digits than its factorization.

20126008745328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25847 (or 25841 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 20126008745328 in words is "twenty trillion, one hundred twenty-six billion, eight million, seven hundred forty-five thousand, three hundred twenty-eight".