275456655360 has 816 divisors, whose sum is σ = 1036421388288. Its totient is φ = 67475865600.

The previous prime is 275456655349. The next prime is 275456655361. The reversal of 275456655360 is 63556654572.

275456655360 is a `hidden beast` number, since 2 + 7 + 5 + 45 + 6 + 65 + 536 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 275456655297 and 275456655306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275456655361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2102722495 + ... + 2102722625.

Almost surely, 2^275456655360 is an apocalyptic number.

275456655360 is a gapful number since it is divisible by the number (20) 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 275456655360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518210694144).

275456655360 is an abundant number, since it is smaller than the sum of its proper divisors (760964732928).

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

275456655360 is a wasteful number, since it uses less digits than its factorization.

275456655360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 22680000, while the sum is 54.

The spelling of 275456655360 in words is "two hundred seventy-five billion, four hundred fifty-six million, six hundred fifty-five thousand, three hundred sixty".