201162919606272 has 3072 divisors, whose sum is σ = 734389925068800. Its totient is φ = 53794213724160.

The previous prime is 201162919606213. The next prime is 201162919606373. The reversal of 201162919606272 is 272606919261102.

It is a happy number.

201162919606272 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 6 + 2 + 9 + 1 + 9 + 6 + 0 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 863360169868 + ... + 863360170100.

It is an arithmetic number, because the mean of its divisors is an integer number (239059220400).

Almost surely, 2^{201162919606272} 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 201162919606272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367194962534400).

201162919606272 is an abundant number, since it is smaller than the sum of its proper divisors (533227005462528).

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

201162919606272 is a wasteful number, since it uses less digits than its factorization.

201162919606272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 201162919606272 in words is "two hundred one trillion, one hundred sixty-two billion, nine hundred nineteen million, six hundred six thousand, two hundred seventy-two".