20835281026624 has 63 divisors (see below), whose sum is σ = 43921441193137. Its totient is φ = 9804545997824.

The previous prime is 20835281026619. The next prime is 20835281026669. The reversal of 20835281026624 is 42662018253802.

The square root of 20835281026624 is 4564568.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16221239553600 + 4614041473024 = 4027560^2 + 2148032^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 620764467 + ... + 620798029.

Almost surely, 2^{20835281026624} is an apocalyptic number.

20835281026624 is the 4564568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20835281026624

20835281026624 is an abundant number, since it is smaller than the sum of its proper divisors (23086160166513).

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

20835281026624 is an frugal number, since it uses more digits than its factorization.

20835281026624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67172 (or 33582 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 49.

The spelling of 20835281026624 in words is "twenty trillion, eight hundred thirty-five billion, two hundred eighty-one million, twenty-six thousand, six hundred twenty-four".