275125264128 has 864 divisors, whose sum is σ = 966387502080. Its totient is φ = 74171842560.

The previous prime is 275125264123. The next prime is 275125264147. The reversal of 275125264128 is 821462521572.

275125264128 is a `hidden beast` number, since 2 + 7 + 512 + 5 + 2 + 6 + 4 + 128 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275125264123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1687884975 + ... + 1687885137.

Almost surely, 2^275125264128 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 275125264128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483193751040).

275125264128 is an abundant number, since it is smaller than the sum of its proper divisors (691262237952).

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

275125264128 is a wasteful number, since it uses less digits than its factorization.

275125264128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 348 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 275125264128 in words is "two hundred seventy-five billion, one hundred twenty-five million, two hundred sixty-four thousand, one hundred twenty-eight".