11300788560 has 40 divisors (see below), whose sum is σ = 35032445280. Its totient is φ = 3013543552.

The previous prime is 11300788553. The next prime is 11300788589. The reversal of 11300788560 is 6588700311.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 23543070 + ... + 23543549.

It is an arithmetic number, because the mean of its divisors is an integer number (875811132).

Almost surely, 2^11300788560 is an apocalyptic number.

11300788560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11300788560 is an abundant number, since it is smaller than the sum of its proper divisors (23731656720).

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

11300788560 is a wasteful number, since it uses less digits than its factorization.

11300788560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47086635 (or 47086629 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 11300788560 in words is "eleven billion, three hundred million, seven hundred eighty-eight thousand, five hundred sixty".