201047095872 has 252 divisors, whose sum is σ = 683894390400. Its totient is φ = 57441187584.

The previous prime is 201047095867. The next prime is 201047095883. The reversal of 201047095872 is 278590740102.

It is a happy number.

201047095872 is a `hidden beast` number, since 2 + 0 + 10 + 470 + 95 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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, 2905129 + ... + 2973527.

Almost surely, 2^201047095872 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 201047095872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341947195200).

201047095872 is an abundant number, since it is smaller than the sum of its proper divisors (482847294528).

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

201047095872 is an frugal number, since it uses more digits than its factorization.

201047095872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68442 (or 68411 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 201047095872 in words is "two hundred one billion, forty-seven million, ninety-five thousand, eight hundred seventy-two".