275205120 has 352 divisors, whose sum is σ = 990420480. Its totient is φ = 64880640.

The previous prime is 275205089. The next prime is 275205131. The reversal of 275205120 is 21502572.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6712300 + ... + 6712340.

Almost surely, 2^275205120 is an apocalyptic number.

275205120 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 275205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495210240).

275205120 is an abundant number, since it is smaller than the sum of its proper divisors (715215360).

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

275205120 is a wasteful number, since it uses less digits than its factorization.

275205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 275205120 is about 16589.3073996475. The cubic root of 275205120 is about 650.4573664658.

Adding to 275205120 its reverse (21502572), we get a palindrome (296707692).

It can be divided in two parts, 27520 and 5120, that added together give a triangular number (32640 = T₂₅₅).

The spelling of 275205120 in words is "two hundred seventy-five million, two hundred five thousand, one hundred twenty".