275338252800 has 720 divisors, whose sum is σ = 1090055726760. Its totient is φ = 65930526720.

The previous prime is 275338252799. The next prime is 275338252807. The reversal of 275338252800 is 8252833572.

275338252800 is a `hidden beast` number, since 275 + 338 + 25 + 28 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4155607296 + 271182645504 = 64464^2 + 520752^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-4 number, since 4×275338252800⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 (275338252807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55408716 + ... + 55413684.

Almost surely, 2^275338252800 is an apocalyptic number.

275338252800 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 275338252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545027863380).

275338252800 is an abundant number, since it is smaller than the sum of its proper divisors (814717473960).

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

275338252800 is a wasteful number, since it uses less digits than its factorization.

275338252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053 (or 5029 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 275338252800 in words is "two hundred seventy-five billion, three hundred thirty-eight million, two hundred fifty-two thousand, eight hundred".