20848605761564 has 72 divisors (see below), whose sum is σ = 44291946037248. Its totient is φ = 8545698305760.

The previous prime is 20848605761551. The next prime is 20848605761573. The reversal of 20848605761564 is 46516750684802.

It is a super-2 number, since 2×20848605761564² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20848605761497 and 20848605761506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41725637 + ... + 42222339.

It is an arithmetic number, because the mean of its divisors is an integer number (615165917184).

Almost surely, 2^{20848605761564} 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 20848605761564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22145973018624).

20848605761564 is an abundant number, since it is smaller than the sum of its proper divisors (23443340275684).

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

20848605761564 is a wasteful number, since it uses less digits than its factorization.

20848605761564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506055 (or 506046 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 62.

The spelling of 20848605761564 in words is "twenty trillion, eight hundred forty-eight billion, six hundred five million, seven hundred sixty-one thousand, five hundred sixty-four".