201092380272 has 480 divisors, whose sum is σ = 715847040000. Its totient is φ = 53733528576.

The previous prime is 201092380271. The next prime is 201092380327. The reversal of 201092380272 is 272083290102.

201092380272 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 9 + 2 + 380 + 272 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201092380271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31770004 + ... + 31776332.

It is an arithmetic number, because the mean of its divisors is an integer number (1491348000).

Almost surely, 2^201092380272 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 201092380272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357923520000).

201092380272 is an abundant number, since it is smaller than the sum of its proper divisors (514754659728).

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

201092380272 is a wasteful number, since it uses less digits than its factorization.

201092380272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6458 (or 6439 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 201092380272 in words is "two hundred one billion, ninety-two million, three hundred eighty thousand, two hundred seventy-two".