200094531142272 has 256 divisors, whose sum is σ = 590911426560000. Its totient is φ = 59575289425920.

The previous prime is 200094531142183. The next prime is 200094531142283. The reversal of 200094531142272 is 272241135490002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1609203879 + ... + 1609328217.

It is an arithmetic number, because the mean of its divisors is an integer number (2308247760000).

Almost surely, 2^{200094531142272} 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 200094531142272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295455713280000).

200094531142272 is an abundant number, since it is smaller than the sum of its proper divisors (390816895417728).

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

200094531142272 is a wasteful number, since it uses less digits than its factorization.

200094531142272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134799 (or 134787 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 200094531142272 in words is "two hundred trillion, ninety-four billion, five hundred thirty-one million, one hundred forty-two thousand, two hundred seventy-two".