275121230400 has 945 divisors, whose sum is σ = 1067656608777. Its totient is φ = 69488409600.

The previous prime is 275121230347. The next prime is 275121230443. The reversal of 275121230400 is 4032121572.

The square root of 275121230400 is 524520.

It is a perfect power (a square), and thus also a powerful number.

275121230400 is a `hidden beast` number, since 2 + 7 + 5 + 1 + 21 + 230 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99043642944 + 176077587456 = 314712^2 + 419616^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5853643177 + ... + 5853643223.

Almost surely, 2^275121230400 is an apocalyptic number.

275121230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

275121230400 is the 524520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275121230400

275121230400 is an abundant number, since it is smaller than the sum of its proper divisors (792535378377).

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

275121230400 is an equidigital number, since it uses as much as digits as its factorization.

275121230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 275121230400 its reverse (4032121572), we get a palindrome (279153351972).

It can be divided in two parts, 275121 and 230400, that added together give a square (505521 = 711²).

The spelling of 275121230400 in words is "two hundred seventy-five billion, one hundred twenty-one million, two hundred thirty thousand, four hundred".