270289382630400 has 2475 divisors, whose sum is σ = 1172621248314131. Its totient is φ = 61515278254080.

The previous prime is 270289382630389. The next prime is 270289382630497. The reversal of 270289382630400 is 4036283982072.

The square root of 270289382630400 is 16440480.

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

270289382630400 is a `hidden beast` number, since 2 + 7 + 0 + 289 + 38 + 26 + 304 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53230215177216 + 217059167453184 = 7295904^2 + 14732928^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 1160040268684 + ... + 1160040268916.

Almost surely, 2^{270289382630400} is an apocalyptic number.

270289382630400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

270289382630400 is the 16440480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270289382630400

270289382630400 is an abundant number, since it is smaller than the sum of its proper divisors (902331865683731).

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

270289382630400 is an frugal number, since it uses more digits than its factorization.

270289382630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 270289382630400 in words is "two hundred seventy trillion, two hundred eighty-nine billion, three hundred eighty-two million, six hundred thirty thousand, four hundred".