27121493308900 has 81 divisors (see below), whose sum is σ = 59173484769819. Its totient is φ = 10789957157760.

The previous prime is 27121493308867. The next prime is 27121493308937. The reversal of 27121493308900 is 980339412172.

It is a happy number.

The square root of 27121493308900 is 5207830.

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

27121493308900 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5938744798116 + 21182748510784 = 2436954^2 + 4602472^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10363580392 + ... + 10363583008.

Almost surely, 2^{27121493308900} is an apocalyptic number.

27121493308900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27121493308900 is the 5207830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27121493308900

27121493308900 is an abundant number, since it is smaller than the sum of its proper divisors (32051991460919).

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

27121493308900 is an frugal number, since it uses more digits than its factorization.

27121493308900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5646 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The spelling of 27121493308900 in words is "twenty-seven trillion, one hundred twenty-one billion, four hundred ninety-three million, three hundred eight thousand, nine hundred".