201271191552 has 768 divisors, whose sum is σ = 679311360000. Its totient is φ = 58498744320.

The previous prime is 201271191551. The next prime is 201271191557. The reversal of 201271191552 is 255191172102.

201271191552 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 7 + 11 + 91 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is not an unprimeable number, because it can be changed into a prime (201271191551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1053775777 + ... + 1053775967.

It is an arithmetic number, because the mean of its divisors is an integer number (884520000).

Almost surely, 2^201271191552 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 201271191552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339655680000).

201271191552 is an abundant number, since it is smaller than the sum of its proper divisors (478040168448).

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

201271191552 is a wasteful number, since it uses less digits than its factorization.

201271191552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The spelling of 201271191552 in words is "two hundred one billion, two hundred seventy-one million, one hundred ninety-one thousand, five hundred fifty-two".