11027513392900 has 81 divisors (see below), whose sum is σ = 24267333347901. Its totient is φ = 4349624244480.

The previous prime is 11027513392867. The next prime is 11027513392913. The reversal of 11027513392900 is 929331572011.

The square root of 11027513392900 is 3320770.

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 3664062102276 + 7363451290624 = 1914174^2 + 2713568^2 .

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, 2424159826 + ... + 2424164374.

Almost surely, 2^{11027513392900} is an apocalyptic number.

11027513392900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11027513392900 is the 3320770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11027513392900

11027513392900 is an abundant number, since it is smaller than the sum of its proper divisors (13239819955001).

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

11027513392900 is an frugal number, since it uses more digits than its factorization.

11027513392900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9258 (or 4629 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 43.

The spelling of 11027513392900 in words is "eleven trillion, twenty-seven billion, five hundred thirteen million, three hundred ninety-two thousand, nine hundred".