271425418145280 has 640 divisors, whose sum is σ = 1102045817410560. Its totient is φ = 62029517783040.

The previous prime is 271425418145251. The next prime is 271425418145281. The reversal of 271425418145280 is 82541814524172.

271425418145280 is a `hidden beast` number, since 2 + 7 + 1 + 4 + 2 + 5 + 4 + 181 + 452 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271425418145281) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3037018995 + ... + 3037108365.

It is an arithmetic number, because the mean of its divisors is an integer number (1721946589704).

Almost surely, 2^{271425418145280} is an apocalyptic number.

271425418145280 is a gapful number since it is divisible by the number (20) 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 271425418145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551022908705280).

271425418145280 is an abundant number, since it is smaller than the sum of its proper divisors (830620399265280).

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

271425418145280 is an equidigital number, since it uses as much as digits as its factorization.

271425418145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95687 (or 95665 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 271425418145280 in words is "two hundred seventy-one trillion, four hundred twenty-five billion, four hundred eighteen million, one hundred forty-five thousand, two hundred eighty".