271125701680 has 40 divisors (see below), whose sum is σ = 631290322512. Its totient is φ = 108291473664.

The previous prime is 271125701663. The next prime is 271125701689. The reversal of 271125701680 is 86107521172.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×271125701680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (271125701689) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2426379 + ... + 2535658.

Almost surely, 2^271125701680 is an apocalyptic number.

271125701680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

271125701680 is an abundant number, since it is smaller than the sum of its proper divisors (360164620832).

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

271125701680 is a wasteful number, since it uses less digits than its factorization.

271125701680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4962733 (or 4962727 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 40.

The spelling of 271125701680 in words is "two hundred seventy-one billion, one hundred twenty-five million, seven hundred one thousand, six hundred eighty".