20820410624 has 108 divisors (see below), whose sum is σ = 45194832900. Its totient is φ = 9568346112.

The previous prime is 20820410623. The next prime is 20820410651. The reversal of 20820410624 is 42601402802.

It can be written as a sum of positive squares in 6 ways, for example, as 2855833600 + 17964577024 = 53440^2 + 134032^2 .

It is not an unprimeable number, because it can be changed into a prime (20820410623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11637122 + ... + 11638910.

It is an arithmetic number, because the mean of its divisors is an integer number (418470675).

Almost surely, 2^20820410624 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 20820410624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22597416450).

20820410624 is an abundant number, since it is smaller than the sum of its proper divisors (24374422276).

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

20820410624 is a wasteful number, since it uses less digits than its factorization.

20820410624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The spelling of 20820410624 in words is "twenty billion, eight hundred twenty million, four hundred ten thousand, six hundred twenty-four".