275681968128 has 408 divisors, whose sum is σ = 944273232448. Its totient is φ = 78734426112.

The previous prime is 275681968109. The next prime is 275681968151. The reversal of 275681968128 is 821869186572.

275681968128 is a `hidden beast` number, since 2 + 7 + 568 + 1 + 9 + 68 + 1 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111475500 + ... + 111477972.

Almost surely, 2^275681968128 is an apocalyptic number.

275681968128 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 275681968128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472136616224).

275681968128 is an abundant number, since it is smaller than the sum of its proper divisors (668591264320).

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

275681968128 is an frugal number, since it uses more digits than its factorization.

275681968128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2485 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The spelling of 275681968128 in words is "two hundred seventy-five billion, six hundred eighty-one million, nine hundred sixty-eight thousand, one hundred twenty-eight".