10271168688 has 160 divisors (see below), whose sum is σ = 29803806720. Its totient is φ = 3021338880.

The previous prime is 10271168617. The next prime is 10271168707. The reversal of 10271168688 is 88686117201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3150003 + ... + 3153261.

It is an arithmetic number, because the mean of its divisors is an integer number (186273792).

Almost surely, 2^10271168688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10271168688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14901903360).

10271168688 is an abundant number, since it is smaller than the sum of its proper divisors (19532638032).

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

10271168688 is a wasteful number, since it uses less digits than its factorization.

10271168688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3455 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The spelling of 10271168688 in words is "ten billion, two hundred seventy-one million, one hundred sixty-eight thousand, six hundred eighty-eight".