201897509616 has 480 divisors, whose sum is σ = 660339164160. Its totient is φ = 56983449600.

The previous prime is 201897509609. The next prime is 201897509719. The reversal of 201897509616 is 616905798102.

201897509616 is a `hidden beast` number, since 2 + 0 + 18 + 9 + 7 + 5 + 0 + 9 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230213370 + ... + 230214246.

It is an arithmetic number, because the mean of its divisors is an integer number (1375706592).

Almost surely, 2^201897509616 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 201897509616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330169582080).

201897509616 is an abundant number, since it is smaller than the sum of its proper divisors (458441654544).

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

201897509616 is a wasteful number, since it uses less digits than its factorization.

201897509616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 201897509616 in words is "two hundred one billion, eight hundred ninety-seven million, five hundred nine thousand, six hundred sixteen".