11027579808400 has 135 divisors (see below), whose sum is σ = 28146772724539. Its totient is φ = 4151134397440.

The previous prime is 11027579808379. The next prime is 11027579808419. The reversal of 11027579808400 is 480897572011.

The square root of 11027579808400 is 3320780.

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

It can be written as a sum of positive squares in 4 ways, for example, as 257946157456 + 10769633650944 = 507884^2 + 3281712^2 .

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, 1129060317 + ... + 1129070083.

Almost surely, 2^{11027579808400} is an apocalyptic number.

11027579808400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11027579808400 is the 3320780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11027579808400

11027579808400 is an abundant number, since it is smaller than the sum of its proper divisors (17119192916139).

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

11027579808400 is an frugal number, since it uses more digits than its factorization.

11027579808400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19586 (or 9791 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 52.

The spelling of 11027579808400 in words is "eleven trillion, twenty-seven billion, five hundred seventy-nine million, eight hundred eight thousand, four hundred".