275346082080 has 384 divisors, whose sum is σ = 996596213760. Its totient is φ = 70928732160.

The previous prime is 275346082079. The next prime is 275346082087. The reversal of 275346082080 is 80280643572.

275346082080 is a `hidden beast` number, since 2 + 7 + 5 + 34 + 608 + 2 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (275346082087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90662322 + ... + 90665358.

It is an arithmetic number, because the mean of its divisors is an integer number (2595302640).

Almost surely, 2^275346082080 is an apocalyptic number.

275346082080 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 275346082080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498298106880).

275346082080 is an abundant number, since it is smaller than the sum of its proper divisors (721250131680).

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

275346082080 is a wasteful number, since it uses less digits than its factorization.

275346082080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3769 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 275346082080 in words is "two hundred seventy-five billion, three hundred forty-six million, eighty-two thousand, eighty".