200830726152 has 288 divisors, whose sum is σ = 649379203200. Its totient is φ = 55885310208.

The previous prime is 200830726141. The next prime is 200830726177. The reversal of 200830726152 is 251627038002.

200830726152 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 30 + 7 + 2 + 615 + 2 = 666.

200830726152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25986913 + ... + 25994639.

It is an arithmetic number, because the mean of its divisors is an integer number (2254788900).

Almost surely, 2^200830726152 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 200830726152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324689601600).

200830726152 is an abundant number, since it is smaller than the sum of its proper divisors (448548477048).

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

200830726152 is a wasteful number, since it uses less digits than its factorization.

200830726152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7945 (or 7931 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 200830726152 in words is "two hundred billion, eight hundred thirty million, seven hundred twenty-six thousand, one hundred fifty-two".