20760585440 has 96 divisors (see below), whose sum is σ = 56463148224. Its totient is φ = 7065907200.

The previous prime is 20760585409. The next prime is 20760585449. The reversal of 20760585440 is 4458506702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20760585449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85790 + ... + 221090.

It is an arithmetic number, because the mean of its divisors is an integer number (588157794).

Almost surely, 2^20760585440 is an apocalyptic number.

20760585440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20760585440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28231574112).

20760585440 is an abundant number, since it is smaller than the sum of its proper divisors (35702562784).

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

20760585440 is a wasteful number, since it uses less digits than its factorization.

20760585440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135460 (or 135452 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 41.

The spelling of 20760585440 in words is "twenty billion, seven hundred sixty million, five hundred eighty-five thousand, four hundred forty".