20960404608 has 256 divisors, whose sum is σ = 65637734400. Its totient is φ = 5842636800.

The previous prime is 20960404601. The next prime is 20960404627. The reversal of 20960404608 is 80640406902.

It is a super-2 number, since 2×20960404608² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (20960404601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23007673 + ... + 23008583.

It is an arithmetic number, because the mean of its divisors is an integer number (256397400).

Almost surely, 2^20960404608 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 20960404608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32818867200).

20960404608 is an abundant number, since it is smaller than the sum of its proper divisors (44677329792).

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

20960404608 is a wasteful number, since it uses less digits than its factorization.

20960404608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 20960404608 in words is "twenty billion, nine hundred sixty million, four hundred four thousand, six hundred eight".