20580954240 has 512 divisors, whose sum is σ = 82953123840. Its totient is φ = 4215767040.

The previous prime is 20580954211. The next prime is 20580954347. The reversal of 20580954240 is 4245908502.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10791367 + ... + 10793273.

It is an arithmetic number, because the mean of its divisors is an integer number (162017820).

Almost surely, 2^20580954240 is an apocalyptic number.

20580954240 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 20580954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41476561920).

20580954240 is an abundant number, since it is smaller than the sum of its proper divisors (62372169600).

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

20580954240 is a wasteful number, since it uses less digits than its factorization.

20580954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 20580954240 in words is "twenty billion, five hundred eighty million, nine hundred fifty-four thousand, two hundred forty".