275966129768 has 64 divisors (see below), whose sum is σ = 603632736000. Its totient is φ = 118230383040.

The previous prime is 275966129743. The next prime is 275966129773. The reversal of 275966129768 is 867921669572.

It is a junction number, because it is equal to n+sod(n) for n = 275966129698 and 275966129707.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8740346 + ... + 8771862.

It is an arithmetic number, because the mean of its divisors is an integer number (9431761500).

Almost surely, 2^275966129768 is an apocalyptic number.

275966129768 is a gapful number since it is divisible by the number (28) 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 275966129768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301816368000).

275966129768 is an abundant number, since it is smaller than the sum of its proper divisors (327666606232).

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

275966129768 is a wasteful number, since it uses less digits than its factorization.

275966129768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34735 (or 34717 counting only the distinct ones).

The product of its digits is 137168640, while the sum is 68.

The spelling of 275966129768 in words is "two hundred seventy-five billion, nine hundred sixty-six million, one hundred twenty-nine thousand, seven hundred sixty-eight".