271481996640 has 96 divisors (see below), whose sum is σ = 884656896480. Its totient is φ = 69898809344.

The previous prime is 271481996561. The next prime is 271481996647. The reversal of 271481996640 is 46699184172.

271481996640 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271481996647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9737589 + ... + 9765428.

It is an arithmetic number, because the mean of its divisors is an integer number (9215176005).

Almost surely, 2^271481996640 is an apocalyptic number.

271481996640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

271481996640 is an abundant number, since it is smaller than the sum of its proper divisors (613174899840).

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

271481996640 is a wasteful number, since it uses less digits than its factorization.

271481996640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19503064 (or 19503056 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 271481996640 in words is "two hundred seventy-one billion, four hundred eighty-one million, nine hundred ninety-six thousand, six hundred forty".