275767143072968 has 32 divisors (see below), whose sum is σ = 521695396436760. Its totient is φ = 136648633712640.

The previous prime is 275767143072961. The next prime is 275767143072997. The reversal of 275767143072968 is 869270341767572.

It can be written as a sum of positive squares in 4 ways, for example, as 247004537438884 + 28762605634084 = 15716378^2 + 5363078^2 .

It is a Smith number, since the sum of its digits (74) 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 = 275767143072895 and 275767143072904.

It is not an unprimeable number, because it can be changed into a prime (275767143072961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8044205 + ... + 24824252.

It is a 1-persistent number, because it is pandigital, but 2⋅275767143072968 = 551534286145936 is not.

Almost surely, 2^{275767143072968} is an apocalyptic number.

It is an amenable number.

275767143072968 is a deficient number, since it is larger than the sum of its proper divisors (245928253363792).

275767143072968 is a wasteful number, since it uses less digits than its factorization.

275767143072968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32877857 (or 32877853 counting only the distinct ones).

The product of its (nonzero) digits is 1493614080, while the sum is 74.

The spelling of 275767143072968 in words is "two hundred seventy-five trillion, seven hundred sixty-seven billion, one hundred forty-three million, seventy-two thousand, nine hundred sixty-eight".