27802314384100 has 243 divisors, whose sum is σ = 63478067051889. Its totient is φ = 10569202099200.

The previous prime is 27802314384077. The next prime is 27802314384139. The reversal of 27802314384100 is 148341320872.

The square root of 27802314384100 is 5272790.

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

It can be written as a sum of positive squares in 13 ways, for example, as 23716062367396 + 4086252016704 = 4869914^2 + 2021448^2 .

It is a super-2 number, since 2×27802314384100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 119323237584 + ... + 119323237816.

Almost surely, 2^{27802314384100} is an apocalyptic number.

27802314384100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27802314384100 is the 5272790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27802314384100

27802314384100 is an abundant number, since it is smaller than the sum of its proper divisors (35675752667789).

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

27802314384100 is an equidigital number, since it uses as much as digits as its factorization.

27802314384100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 27802314384100 in words is "twenty-seven trillion, eight hundred two billion, three hundred fourteen million, three hundred eighty-four thousand, one hundred".