20126261744500 has 96 divisors (see below), whose sum is σ = 44029834561440. Its totient is φ = 8036945280000.

The previous prime is 20126261744473. The next prime is 20126261744569. The reversal of 20126261744500 is 544716262102.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 18544839802384 + 1581421942116 = 4306372^2 + 1257546^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1228626310 + ... + 1228642690.

It is an arithmetic number, because the mean of its divisors is an integer number (458644110015).

Almost surely, 2^{20126261744500} is an apocalyptic number.

20126261744500 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 20126261744500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014917280720).

20126261744500 is an abundant number, since it is smaller than the sum of its proper divisors (23903572816940).

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

20126261744500 is a wasteful number, since it uses less digits than its factorization.

20126261744500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20390 (or 20378 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 20126261744500 in words is "twenty trillion, one hundred twenty-six billion, two hundred sixty-one million, seven hundred forty-four thousand, five hundred".