27129384100 has 243 divisors, whose sum is σ = 74567369961. Its totient is φ = 8538566400.

The previous prime is 27129384043. The next prime is 27129384109. The reversal of 27129384100 is 148392172.

The square root of 27129384100 is 164710.

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 22469410404 + 4659973696 = 149898^2 + 68264^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27129384100.

It is not an unprimeable number, because it can be changed into a prime (27129384109) 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 80 ways as a sum of consecutive naturals, for example, 149886010 + ... + 149886190.

Almost surely, 2^27129384100 is an apocalyptic number.

27129384100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27129384100 is the 164710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27129384100

27129384100 is an abundant number, since it is smaller than the sum of its proper divisors (47437985861).

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

27129384100 is a wasteful number, since it uses less digits than its factorization.

27129384100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 27129384100 in words is "twenty-seven billion, one hundred twenty-nine million, three hundred eighty-four thousand, one hundred".