27192010000 has 225 divisors, whose sum is σ = 70663410939. Its totient is φ = 10131456000.

The previous prime is 27192009989. The next prime is 27192010063. The reversal of 27192010000 is 1029172.

The square root of 27192010000 is 164900.

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

It can be written as a sum of positive squares in 22 ways, for example, as 27149811984 + 42198016 = 164772^2 + 6496^2 .

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 44 ways as a sum of consecutive naturals, for example, 280329952 + ... + 280330048.

Almost surely, 2^27192010000 is an apocalyptic number.

27192010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27192010000 is the 164900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27192010000

27192010000 is an abundant number, since it is smaller than the sum of its proper divisors (43471400939).

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

27192010000 is an frugal number, since it uses more digits than its factorization.

27192010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

Adding to 27192010000 its reverse (1029172), we get a palindrome (27193039172).

The spelling of 27192010000 in words is "twenty-seven billion, one hundred ninety-two million, ten thousand".