275481984960 has 1568 divisors, whose sum is σ = 1276083970560. Its totient is φ = 54983909376.

The previous prime is 275481984929. The next prime is 275481984983. The reversal of 275481984960 is 69489184572.

275481984960 is a `hidden beast` number, since 2 + 7 + 5 + 481 + 98 + 4 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 403340779 + ... + 403341461.

Almost surely, 2^275481984960 is an apocalyptic number.

275481984960 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 275481984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638041985280).

275481984960 is an abundant number, since it is smaller than the sum of its proper divisors (1000601985600).

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

275481984960 is a wasteful number, since it uses less digits than its factorization.

275481984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 275481984960 in words is "two hundred seventy-five billion, four hundred eighty-one million, nine hundred eighty-four thousand, nine hundred sixty".