201199636960 has 144 divisors (see below), whose sum is σ = 554941878624. Its totient is φ = 68732955648.

The previous prime is 201199636943. The next prime is 201199636987. The reversal of 201199636960 is 69636991102.

It is a junction number, because it is equal to n+sod(n) for n = 201199636898 and 201199636907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2125357 + ... + 2218003.

It is an arithmetic number, because the mean of its divisors is an integer number (3853763046).

Almost surely, 2^201199636960 is an apocalyptic number.

201199636960 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 201199636960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277470939312).

201199636960 is an abundant number, since it is smaller than the sum of its proper divisors (353742241664).

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

201199636960 is a wasteful number, since it uses less digits than its factorization.

201199636960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92953 (or 92938 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 52.

The spelling of 201199636960 in words is "two hundred one billion, one hundred ninety-nine million, six hundred thirty-six thousand, nine hundred sixty".