27875641600 has 81 divisors (see below), whose sum is σ = 69029644537. Its totient is φ = 11144913920.

The previous prime is 27875641597. The next prime is 27875641601. The reversal of 27875641600 is 614657872.

It is a happy number.

The square root of 27875641600 is 166960.

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

It can be written as a sum of positive squares in only one way, i.e., 10035230976 + 17840410624 = 100176^2 + 133568^2 .

It is a super-2 number, since 2×27875641600² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27875641601) by changing a digit.

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, 13355757 + ... + 13357843.

Almost surely, 2^27875641600 is an apocalyptic number.

27875641600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27875641600 is the 166960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27875641600

27875641600 is an abundant number, since it is smaller than the sum of its proper divisors (41154002937).

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

27875641600 is an frugal number, since it uses more digits than its factorization.

27875641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

It can be divided in two parts, 278756 and 41600, that added together give a square (320356 = 566²).

The spelling of 27875641600 in words is "twenty-seven billion, eight hundred seventy-five million, six hundred forty-one thousand, six hundred".