275990322960 has 720 divisors, whose sum is σ = 1084013618688. Its totient is φ = 62662533120.

The previous prime is 275990322947. The next prime is 275990322967. The reversal of 275990322960 is 69223099572.

275990322960 is a `hidden beast` number, since 27 + 599 + 0 + 3 + 2 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 275990322897 and 275990322906.

It is not an unprimeable number, because it can be changed into a prime (275990322967) 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 143 ways as a sum of consecutive naturals, for example, 454678977 + ... + 454679583.

Almost surely, 2^275990322960 is an apocalyptic number.

275990322960 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 275990322960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542006809344).

275990322960 is an abundant number, since it is smaller than the sum of its proper divisors (808023295728).

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

275990322960 is a wasteful number, since it uses less digits than its factorization.

275990322960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 275990322960 in words is "two hundred seventy-five billion, nine hundred ninety million, three hundred twenty-two thousand, nine hundred sixty".