275306402880 has 336 divisors, whose sum is σ = 1002918309120. Its totient is φ = 71852064768.

The previous prime is 275306402821. The next prime is 275306402881. The reversal of 275306402880 is 88204603572.

275306402880 is a `hidden beast` number, since 27 + 5 + 306 + 40 + 288 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (275306402881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3617056 + ... + 3692384.

It is an arithmetic number, because the mean of its divisors is an integer number (2984875920).

Almost surely, 2^275306402880 is an apocalyptic number.

275306402880 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 275306402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501459154560).

275306402880 is an abundant number, since it is smaller than the sum of its proper divisors (727611906240).

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

275306402880 is an equidigital number, since it uses as much as digits as its factorization.

275306402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75408 (or 75386 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 275306402880 in words is "two hundred seventy-five billion, three hundred six million, four hundred two thousand, eight hundred eighty".