275248856064 has 1056 divisors, whose sum is σ = 983912002560. Its totient is φ = 66801106944.

The previous prime is 275248856059. The next prime is 275248856083. The reversal of 275248856064 is 460658842572.

It is a junction number, because it is equal to n+sod(n) for n = 275248855995 and 275248856013.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3092683732 + ... + 3092683820.

Almost surely, 2^275248856064 is an apocalyptic number.

275248856064 is a gapful number since it is divisible by the number (24) 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 275248856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491956001280).

275248856064 is an abundant number, since it is smaller than the sum of its proper divisors (708663146496).

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

275248856064 is a wasteful number, since it uses less digits than its factorization.

275248856064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 57.

The spelling of 275248856064 in words is "two hundred seventy-five billion, two hundred forty-eight million, eight hundred fifty-six thousand, sixty-four".