20059126800 has 240 divisors, whose sum is σ = 65627228160. Its totient is φ = 5235776000.

The previous prime is 20059126799. The next prime is 20059126811. The reversal of 20059126800 is 862195002.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22018345 + ... + 22019255.

It is an arithmetic number, because the mean of its divisors is an integer number (273446784).

Almost surely, 2^20059126800 is an apocalyptic number.

20059126800 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 20059126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32813614080).

20059126800 is an abundant number, since it is smaller than the sum of its proper divisors (45568101360).

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

20059126800 is a wasteful number, since it uses less digits than its factorization.

20059126800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 20059126800 in words is "twenty billion, fifty-nine million, one hundred twenty-six thousand, eight hundred".