27396870400 has 81 divisors (see below), whose sum is σ = 67844325871. Its totient is φ = 10953451520.

The previous prime is 27396870377. The next prime is 27396870427. The reversal of 27396870400 is 407869372.

The square root of 27396870400 is 165520.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6771314944 + 20625555456 = 82288^2 + 143616^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13240566 + ... + 13242634.

Almost surely, 2^27396870400 is an apocalyptic number.

27396870400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27396870400 is the 165520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27396870400

27396870400 is an abundant number, since it is smaller than the sum of its proper divisors (40447455471).

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

27396870400 is an frugal number, since it uses more digits than its factorization.

27396870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4164 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 27396870400 in words is "twenty-seven billion, three hundred ninety-six million, eight hundred seventy thousand, four hundred".