20558096064 has 336 divisors, whose sum is σ = 67994784000. Its totient is φ = 5873264640.

The previous prime is 20558096063. The next prime is 20558096071. The reversal of 20558096064 is 46069085502.

20558096064 is a `hidden beast` number, since 2 + 0 + 5 + 580 + 9 + 6 + 0 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (20558096063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46829157 + ... + 46829595.

Almost surely, 2^20558096064 is an apocalyptic number.

20558096064 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 20558096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33997392000).

20558096064 is an abundant number, since it is smaller than the sum of its proper divisors (47436687936).

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

20558096064 is a wasteful number, since it uses less digits than its factorization.

20558096064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 20558096064 in words is "twenty billion, five hundred fifty-eight million, ninety-six thousand, sixty-four".