275160217906116 has 405 divisors, whose sum is σ = 771367882571517. Its totient is φ = 85514220460800.

The previous prime is 275160217906103. The next prime is 275160217906183. The reversal of 275160217906116 is 611609712061572.

The square root of 275160217906116 is 16587954.

It is a perfect power (a square), and thus also a powerful number.

275160217906116 is a `hidden beast` number, since 2 + 7 + 5 + 1 + 6 + 0 + 2 + 17 + 9 + 0 + 611 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 214225083144900 + 60935134761216 = 14636430^2 + 7806096^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 766463002345 + ... + 766463002703.

Almost surely, 2^{275160217906116} is an apocalyptic number.

275160217906116 is the 16587954-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275160217906116

275160217906116 is an abundant number, since it is smaller than the sum of its proper divisors (496207664665401).

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

275160217906116 is an equidigital number, since it uses as much as digits as its factorization.

275160217906116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

Adding to 275160217906116 its reverse (611609712061572), we get a palindrome (886769929967688).

The spelling of 275160217906116 in words is "two hundred seventy-five trillion, one hundred sixty billion, two hundred seventeen million, nine hundred six thousand, one hundred sixteen".