200426789600928 has 864 divisors, whose sum is σ = 659771361849600. Its totient is φ = 59797546997760.

The previous prime is 200426789600911. The next prime is 200426789600953. The reversal of 200426789600928 is 829006987624002.

200426789600928 is a `hidden beast` number, since 200 + 4 + 267 + 89 + 6 + 0 + 0 + 92 + 8 = 666.

200426789600928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×200426789600928² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27725378818 + ... + 27725386046.

It is an arithmetic number, because the mean of its divisors is an integer number (763624261400).

Almost surely, 2^{200426789600928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200426789600928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329885680924800).

200426789600928 is an abundant number, since it is smaller than the sum of its proper divisors (459344572248672).

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

200426789600928 is a wasteful number, since it uses less digits than its factorization.

200426789600928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7728 (or 7697 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 200426789600928 in words is "two hundred trillion, four hundred twenty-six billion, seven hundred eighty-nine million, six hundred thousand, nine hundred twenty-eight".