201540616200 has 864 divisors, whose sum is σ = 886761457920. Its totient is φ = 40521600000.

The previous prime is 201540616159. The next prime is 201540616217. The reversal of 201540616200 is 2616045102.

201540616200 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 40 + 616 + 2 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 30072850 + ... + 30079550.

It is an arithmetic number, because the mean of its divisors is an integer number (1026344280).

Almost surely, 2^201540616200 is an apocalyptic number.

201540616200 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 201540616200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443380728960).

201540616200 is an abundant number, since it is smaller than the sum of its proper divisors (685220841720).

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

201540616200 is a wasteful number, since it uses less digits than its factorization.

201540616200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6779 (or 6760 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 201540616200 in words is "two hundred one billion, five hundred forty million, six hundred sixteen thousand, two hundred".