11289398400900 has 405 divisors, whose sum is σ = 37648889248509. Its totient is φ = 2926238192640.

The previous prime is 11289398400883. The next prime is 11289398400923. The reversal of 11289398400900 is 900489398211.

The square root of 11289398400900 is 3359970.

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

11289398400900 is a `hidden beast` number, since 1 + 128 + 9 + 398 + 40 + 0 + 90 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 4358015307396 + 6931383093504 = 2087586^2 + 2632752^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11188699596 + ... + 11188700604.

Almost surely, 2^{11289398400900} is an apocalyptic number.

11289398400900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11289398400900 is the 3359970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11289398400900

11289398400900 is an abundant number, since it is smaller than the sum of its proper divisors (26359490847609).

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

11289398400900 is an equidigital number, since it uses as much as digits as its factorization.

11289398400900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 11289398400900 in words is "eleven trillion, two hundred eighty-nine billion, three hundred ninety-eight million, four hundred thousand, nine hundred".