271583016081200 has 60 divisors (see below), whose sum is σ = 652494449071608. Its totient is φ = 108630500428800.

The previous prime is 271583016081197. The next prime is 271583016081227. The reversal of 271583016081200 is 2180610385172.

It is a super-2 number, since 2×271583016081200² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7660259 + ... + 24532541.

Almost surely, 2^{271583016081200} is an apocalyptic number.

271583016081200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

271583016081200 is an abundant number, since it is smaller than the sum of its proper divisors (380911432990408).

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

271583016081200 is a wasteful number, since it uses less digits than its factorization.

271583016081200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16912542 (or 16912531 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 44.

The spelling of 271583016081200 in words is "two hundred seventy-one trillion, five hundred eighty-three billion, sixteen million, eighty-one thousand, two hundred".