271296200448 has 2160 divisors, whose sum is σ = 1136819819520. Its totient is φ = 63458131968.

The previous prime is 271296200389. The next prime is 271296200449. The reversal of 271296200448 is 844002692172.

271296200448 is a `hidden beast` number, since 2 + 7 + 12 + 9 + 620 + 0 + 4 + 4 + 8 = 666.

271296200448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271296200449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5772259561 + ... + 5772259607.

It is an arithmetic number, because the mean of its divisors is an integer number (526305472).

Almost surely, 2^271296200448 is an apocalyptic number.

271296200448 is a gapful number since it is divisible by the number (28) 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 271296200448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568409909760).

271296200448 is an abundant number, since it is smaller than the sum of its proper divisors (865523619072).

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

271296200448 is a wasteful number, since it uses less digits than its factorization.

271296200448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 271296200448 in words is "two hundred seventy-one billion, two hundred ninety-six million, two hundred thousand, four hundred forty-eight".