271159848960 has 832 divisors, whose sum is σ = 1165161231360. Its totient is φ = 51998883840.

The previous prime is 271159848907. The next prime is 271159848977. The reversal of 271159848960 is 69848951172.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 271159848894 and 271159848903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61499236 + ... + 61503644.

Almost surely, 2^271159848960 is an apocalyptic number.

271159848960 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 271159848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582580615680).

271159848960 is an abundant number, since it is smaller than the sum of its proper divisors (894001382400).

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

271159848960 is a wasteful number, since it uses less digits than its factorization.

271159848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4472 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 60.

The spelling of 271159848960 in words is "two hundred seventy-one billion, one hundred fifty-nine million, eight hundred forty-eight thousand, nine hundred sixty".