200907317268 has 108 divisors (see below), whose sum is σ = 591438317652. Its totient is φ = 57336491520.

The previous prime is 200907317249. The next prime is 200907317287. The reversal of 200907317268 is 862713709002.

It is an interprime number because it is at equal distance from previous prime (200907317249) and next prime (200907317287).

It can be written as a sum of positive squares in 2 ways, for example, as 79209599364 + 121697717904 = 281442^2 + 348852^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1489446 + ... + 1618722.

It is an arithmetic number, because the mean of its divisors is an integer number (5476280719).

Almost surely, 2^200907317268 is an apocalyptic number.

200907317268 is a gapful number since it is divisible by the number (28) 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 200907317268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295719158826).

200907317268 is an abundant number, since it is smaller than the sum of its proper divisors (390531000384).

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

200907317268 is a wasteful number, since it uses less digits than its factorization.

200907317268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130182 (or 130170 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 200907317268 in words is "two hundred billion, nine hundred seven million, three hundred seventeen thousand, two hundred sixty-eight".