275952344920320 has 1152 divisors, whose sum is σ = 925443527823360. Its totient is φ = 70031720448000.

The previous prime is 275952344920289. The next prime is 275952344920331. The reversal of 275952344920320 is 23029443259572.

It is a super-2 number, since 2×275952344920320² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 267655038205 + ... + 267655039235.

It is an arithmetic number, because the mean of its divisors is an integer number (803336395680).

Almost surely, 2^{275952344920320} is an apocalyptic number.

275952344920320 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 275952344920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462721763911680).

275952344920320 is an abundant number, since it is smaller than the sum of its proper divisors (649491182903040).

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

275952344920320 is a wasteful number, since it uses less digits than its factorization.

275952344920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 57.

The spelling of 275952344920320 in words is "two hundred seventy-five trillion, nine hundred fifty-two billion, three hundred forty-four million, nine hundred twenty thousand, three hundred twenty".