271950728049 has 256 divisors, whose sum is σ = 559553003520. Its totient is φ = 125971200000.

The previous prime is 271950728029. The next prime is 271950728057. The reversal of 271950728049 is 940827059172.

271950728049 is a `hidden beast` number, since 2 + 7 + 19 + 507 + 2 + 80 + 49 = 666.

It is not a de Polignac number, because 271950728049 - 2²³ = 271942339441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 271950727986 and 271950728004.

It is not an unprimeable number, because it can be changed into a prime (271950728029) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 150998949 + ... + 151000749.

It is an arithmetic number, because the mean of its divisors is an integer number (2185753920).

Almost surely, 2^271950728049 is an apocalyptic number.

It is an amenable number.

271950728049 is an abundant number, since it is smaller than the sum of its proper divisors (287602275471).

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

271950728049 is a wasteful number, since it uses less digits than its factorization.

271950728049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

It can be divided in two parts, 271950 and 728049, that added together give a palindrome (999999).

The spelling of 271950728049 in words is "two hundred seventy-one billion, nine hundred fifty million, seven hundred twenty-eight thousand, forty-nine".