10271345280 has 768 divisors, whose sum is σ = 41411347200. Its totient is φ = 2118057984.

The previous prime is 10271345263. The next prime is 10271345303. The reversal of 10271345280 is 8254317201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140703324 + ... + 140703396.

It is an arithmetic number, because the mean of its divisors is an integer number (53921025).

Almost surely, 2^10271345280 is an apocalyptic number.

10271345280 is a gapful number since it is divisible by the number (10) 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 10271345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20705673600).

10271345280 is an abundant number, since it is smaller than the sum of its proper divisors (31140001920).

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

10271345280 is a wasteful number, since it uses less digits than its factorization.

10271345280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 10271345280 in words is "ten billion, two hundred seventy-one million, three hundred forty-five thousand, two hundred eighty".