20456585904 has 80 divisors (see below), whose sum is σ = 55919278080. Its totient is φ = 6426097920.

The previous prime is 20456585881. The next prime is 20456585909. The reversal of 20456585904 is 40958565402.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (20456585909) 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, 115474 + ... + 232910.

It is an arithmetic number, because the mean of its divisors is an integer number (698990976).

Almost surely, 2^20456585904 is an apocalyptic number.

20456585904 is a gapful number since it is divisible by the number (24) 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 20456585904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27959639040).

20456585904 is an abundant number, since it is smaller than the sum of its proper divisors (35462692176).

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

20456585904 is a wasteful number, since it uses less digits than its factorization.

20456585904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117658 (or 117652 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 20456585904 in words is "twenty billion, four hundred fifty-six million, five hundred eighty-five thousand, nine hundred four".