271883252160 has 1008 divisors, whose sum is σ = 1112825933856. Its totient is φ = 62936580096.

The previous prime is 271883252099. The next prime is 271883252197. The reversal of 271883252160 is 61252388172.

271883252160 is a `hidden beast` number, since 27 + 18 + 8 + 32 + 521 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 223403872 + ... + 223405088.

It is an arithmetic number, because the mean of its divisors is an integer number (1103993982).

Almost surely, 2^271883252160 is an apocalyptic number.

271883252160 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 271883252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556412966928).

271883252160 is an abundant number, since it is smaller than the sum of its proper divisors (840942681696).

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

271883252160 is a wasteful number, since it uses less digits than its factorization.

271883252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 271883252160 in words is "two hundred seventy-one billion, eight hundred eighty-three million, two hundred fifty-two thousand, one hundred sixty".