275706320400 has 1440 divisors, whose sum is σ = 1190440056960. Its totient is φ = 60383232000.

The previous prime is 275706320387. The next prime is 275706320431. The reversal of 275706320400 is 4023607572.

It is a happy number.

275706320400 is a `hidden beast` number, since 2 + 7 + 570 + 63 + 20 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 2104628335 + ... + 2104628465.

It is an arithmetic number, because the mean of its divisors is an integer number (826694484).

Almost surely, 2^275706320400 is an apocalyptic number.

275706320400 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 275706320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595220028480).

275706320400 is an abundant number, since it is smaller than the sum of its proper divisors (914733736560).

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

275706320400 is a wasteful number, since it uses less digits than its factorization.

275706320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

Adding to 275706320400 its reverse (4023607572), we get a palindrome (279729927972).

The spelling of 275706320400 in words is "two hundred seventy-five billion, seven hundred six million, three hundred twenty thousand, four hundred".