27200000000 has 234 divisors, whose sum is σ = 71991174078. Its totient is φ = 10240000000.

The previous prime is 27199999999. The next prime is 27200000021. The reversal of 27200000000 is 272.

It can be written as a sum of positive squares in 9 ways, for example, as 12861374464 + 14338625536 = 113408^2 + 119744^2 .

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 17 ways as a sum of consecutive naturals, for example, 1599999992 + ... + 1600000008.

Almost surely, 2^27200000000 is an apocalyptic number.

27200000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35995587039).

27200000000 is an abundant number, since it is smaller than the sum of its proper divisors (44791174078).

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

27200000000 is an frugal number, since it uses more digits than its factorization.

27200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 11.

Adding to 27200000000 its reverse (272), we get a palindrome (27200000272).

Multiplying 27200000000 by its reverse (272), we get a square (7398400000000 = 2720000²).

27200000000 divided by its reverse (272) gives a 8-th power (100000000 = 10⁸).

It can be divided in two parts, 2 and 7200000000, that multiplied together give a square (14400000000 = 120000²).

The spelling of 27200000000 in words is "twenty-seven billion, two hundred million", and thus it is an aban number.