275265610560 has 168 divisors, whose sum is σ = 948192017760. Its totient is φ = 73296165888.

The previous prime is 275265610559. The next prime is 275265610567. The reversal of 275265610560 is 65016562572.

275265610560 is a `hidden beast` number, since 2 + 7 + 5 + 26 + 5 + 61 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275265610567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1897071 + ... + 2037009.

Almost surely, 2^275265610560 is an apocalyptic number.

275265610560 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 275265610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474096008880).

275265610560 is an abundant number, since it is smaller than the sum of its proper divisors (672926407200).

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

275265610560 is a wasteful number, since it uses less digits than its factorization.

275265610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140645 (or 140632 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 275265610560 in words is "two hundred seventy-five billion, two hundred sixty-five million, six hundred ten thousand, five hundred sixty".