275556800560 has 80 divisors (see below), whose sum is σ = 665734890240. Its totient is φ = 105944509440.

The previous prime is 275556800551. The next prime is 275556800567. The reversal of 275556800560 is 65008655572.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (275556800567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251050 + ... + 783670.

It is an arithmetic number, because the mean of its divisors is an integer number (8321686128).

Almost surely, 2^275556800560 is an apocalyptic number.

275556800560 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 275556800560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332867445120).

275556800560 is an abundant number, since it is smaller than the sum of its proper divisors (390178089680).

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

275556800560 is a wasteful number, since it uses less digits than its factorization.

275556800560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532886 (or 532880 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 49.

The spelling of 275556800560 in words is "two hundred seventy-five billion, five hundred fifty-six million, eight hundred thousand, five hundred sixty".