20859958080 has 448 divisors, whose sum is σ = 79694227200. Its totient is φ = 5106032640.

The previous prime is 20859958057. The next prime is 20859958081. The reversal of 20859958080 is 8085995802.

20859958080 is a `hidden beast` number, since 2 + 0 + 8 + 59 + 9 + 580 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20859958081) 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 63 ways as a sum of consecutive naturals, for example, 25720875 + ... + 25721685.

It is an arithmetic number, because the mean of its divisors is an integer number (177888900).

Almost surely, 2^20859958080 is an apocalyptic number.

20859958080 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 20859958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39847113600).

20859958080 is an abundant number, since it is smaller than the sum of its proper divisors (58834269120).

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

20859958080 is a wasteful number, since it uses less digits than its factorization.

20859958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 20859958080 in words is "twenty billion, eight hundred fifty-nine million, nine hundred fifty-eight thousand, eighty".