10271656260 has 144 divisors (see below), whose sum is σ = 31672695600. Its totient is φ = 2694021120.

The previous prime is 10271656259. The next prime is 10271656331. The reversal of 10271656260 is 6265617201.

It is a happy number.

10271656260 is a `hidden beast` number, since 1 + 0 + 27 + 1 + 6 + 5 + 626 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1252735236 + 9018921024 = 35394^2 + 94968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5898990 + ... + 5900730.

It is an arithmetic number, because the mean of its divisors is an integer number (219949275).

Almost surely, 2^10271656260 is an apocalyptic number.

10271656260 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 10271656260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15836347800).

10271656260 is an abundant number, since it is smaller than the sum of its proper divisors (21401039340).

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

10271656260 is a wasteful number, since it uses less digits than its factorization.

10271656260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10271656260 in words is "ten billion, two hundred seventy-one million, six hundred fifty-six thousand, two hundred sixty".