275450084352 has 704 divisors, whose sum is σ = 894208204800. Its totient is φ = 83501383680.

The previous prime is 275450084347. The next prime is 275450084353. The reversal of 275450084352 is 253480054572.

275450084352 is a `hidden beast` number, since 2 + 7 + 54 + 500 + 8 + 43 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 275450084298 and 275450084307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275450084353) 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 63 ways as a sum of consecutive naturals, for example, 1754459058 + ... + 1754459214.

Almost surely, 2^275450084352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275450084352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447104102400).

275450084352 is an abundant number, since it is smaller than the sum of its proper divisors (618758120448).

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

275450084352 is a wasteful number, since it uses less digits than its factorization.

275450084352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 275450084352 in words is "two hundred seventy-five billion, four hundred fifty million, eighty-four thousand, three hundred fifty-two".