275338126800 has 480 divisors, whose sum is σ = 1131986655360. Its totient is φ = 62821785600.

The previous prime is 275338126781. The next prime is 275338126837. The reversal of 275338126800 is 8621833572.

275338126800 is a `hidden beast` number, since 2 + 7 + 5 + 3 + 381 + 268 + 0 + 0 = 666.

It is a super-2 number, since 2×275338126800² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1951434 + ... + 2087766.

It is an arithmetic number, because the mean of its divisors is an integer number (2358305532).

Almost surely, 2^275338126800 is an apocalyptic number.

275338126800 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 275338126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565993327680).

275338126800 is an abundant number, since it is smaller than the sum of its proper divisors (856648528560).

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

275338126800 is a wasteful number, since it uses less digits than its factorization.

275338126800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136388 (or 136371 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 275338126800 in words is "two hundred seventy-five billion, three hundred thirty-eight million, one hundred twenty-six thousand, eight hundred".