271242356880 has 640 divisors, whose sum is σ = 1004078592000. Its totient is φ = 59833589760.

The previous prime is 271242356863. The next prime is 271242356893. The reversal of 271242356880 is 88653242172.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 382569966 + ... + 382570674.

It is an arithmetic number, because the mean of its divisors is an integer number (1568872800).

Almost surely, 2^271242356880 is an apocalyptic number.

271242356880 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 271242356880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502039296000).

271242356880 is an abundant number, since it is smaller than the sum of its proper divisors (732836235120).

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

271242356880 is a wasteful number, since it uses less digits than its factorization.

271242356880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 271242356880 in words is "two hundred seventy-one billion, two hundred forty-two million, three hundred fifty-six thousand, eight hundred eighty".