201287059200 has 648 divisors, whose sum is σ = 742100158800. Its totient is φ = 52022476800.

The previous prime is 201287059163. The next prime is 201287059273. The reversal of 201287059200 is 2950782102.

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

It is a congruent number.

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, 448300576 + ... + 448301024.

Almost surely, 2^201287059200 is an apocalyptic number.

201287059200 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 201287059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371050079400).

201287059200 is an abundant number, since it is smaller than the sum of its proper divisors (540813099600).

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

201287059200 is a wasteful number, since it uses less digits than its factorization.

201287059200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 201287059200 in words is "two hundred one billion, two hundred eighty-seven million, fifty-nine thousand, two hundred".