200675352771000 has 768 divisors, whose sum is σ = 723258389468160. Its totient is φ = 52006351449600.

The previous prime is 200675352770953. The next prime is 200675352771007. The reversal of 200675352771000 is 177253576002.

200675352771000 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 7 + 53 + 527 + 71 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200675352771007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7975004419 + ... + 7975029581.

It is an arithmetic number, because the mean of its divisors is an integer number (941742694620).

Almost surely, 2^{200675352771000} is an apocalyptic number.

200675352771000 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 200675352771000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361629194734080).

200675352771000 is an abundant number, since it is smaller than the sum of its proper divisors (522583036697160).

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

200675352771000 is a wasteful number, since it uses less digits than its factorization.

200675352771000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26123 (or 26097 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 200675352771000 in words is "two hundred trillion, six hundred seventy-five billion, three hundred fifty-two million, seven hundred seventy-one thousand".