11102464400 has 60 divisors (see below), whose sum is σ = 27593481300. Its totient is φ = 4287843840.

The previous prime is 11102464379. The next prime is 11102464453. The reversal of 11102464400 is 446420111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 614246656 + 10488217744 = 24784^2 + 102412^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 466955 + ... + 490154.

It is an arithmetic number, because the mean of its divisors is an integer number (459891355).

Almost surely, 2^11102464400 is an apocalyptic number.

11102464400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102464400 is an abundant number, since it is smaller than the sum of its proper divisors (16491016900).

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

11102464400 is a wasteful number, since it uses less digits than its factorization.

11102464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957156 (or 957145 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 11102464400 its reverse (446420111), we get a palindrome (11548884511).

The spelling of 11102464400 in words is "eleven billion, one hundred two million, four hundred sixty-four thousand, four hundred".