20126017028608 has 80 divisors (see below), whose sum is σ = 42587764335864. Its totient is φ = 9468934881280.

The previous prime is 20126017028573. The next prime is 20126017028657. The reversal of 20126017028608 is 80682071062102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18445032173824 + 1680984854784 = 4294768^2 + 1296528^2 .

It is a super-2 number, since 2×20126017028608² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38744616 + ... + 39260632.

Almost surely, 2^{20126017028608} 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 20126017028608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21293882167932).

20126017028608 is an abundant number, since it is smaller than the sum of its proper divisors (22461747307256).

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

20126017028608 is an equidigital number, since it uses as much as digits as its factorization.

20126017028608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520533 (or 520517 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 20126017028608 in words is "twenty trillion, one hundred twenty-six billion, seventeen million, twenty-eight thousand, six hundred eight".