20959858080 has 768 divisors, whose sum is σ = 87284736000. Its totient is φ = 4655895552.

The previous prime is 20959858079. The next prime is 20959858111. The reversal of 20959858080 is 8085895902.

20959858080 is a `hidden beast` number, since 2 + 0 + 9 + 59 + 8 + 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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105325821 + ... + 105326019.

It is an arithmetic number, because the mean of its divisors is an integer number (113652000).

Almost surely, 2^20959858080 is an apocalyptic number.

20959858080 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 20959858080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43642368000).

20959858080 is an abundant number, since it is smaller than the sum of its proper divisors (66324877920).

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

20959858080 is an equidigital number, since it uses as much as digits as its factorization.

20959858080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 259 counting only the distinct ones).

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

The spelling of 20959858080 in words is "twenty billion, nine hundred fifty-nine million, eight hundred fifty-eight thousand, eighty".