11264563064400 has 120 divisors (see below), whose sum is σ = 36403479552000. Its totient is φ = 2977300408320.

The previous prime is 11264563064299. The next prime is 11264563064411. The reversal of 11264563064400 is 446036546211.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41400400 + ... + 41671599.

It is an arithmetic number, because the mean of its divisors is an integer number (303362329600).

Almost surely, 2^{11264563064400} is an apocalyptic number.

11264563064400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11264563064400 is an abundant number, since it is smaller than the sum of its proper divisors (25138916487600).

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

11264563064400 is a wasteful number, since it uses less digits than its factorization.

11264563064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83072133 (or 83072122 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 11264563064400 in words is "eleven trillion, two hundred sixty-four billion, five hundred sixty-three million, sixty-four thousand, four hundred".