275285456460 has 216 divisors, whose sum is σ = 974438534160. Its totient is φ = 62723259648.

The previous prime is 275285456419. The next prime is 275285456461. The reversal of 275285456460 is 64654582572.

275285456460 is a `hidden beast` number, since 2 + 7 + 5 + 28 + 54 + 564 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 275285456397 and 275285456406.

It is not an unprimeable number, because it can be changed into a prime (275285456461) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2746711 + ... + 2845169.

It is an arithmetic number, because the mean of its divisors is an integer number (4511289510).

Almost surely, 2^275285456460 is an apocalyptic number.

275285456460 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 275285456460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487219267080).

275285456460 is an abundant number, since it is smaller than the sum of its proper divisors (699153077700).

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

275285456460 is a wasteful number, since it uses less digits than its factorization.

275285456460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98805 (or 98793 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 275285456460 in words is "two hundred seventy-five billion, two hundred eighty-five million, four hundred fifty-six thousand, four hundred sixty".