11300113552 has 320 divisors, whose sum is σ = 29398118400. Its totient is φ = 4087480320.

The previous prime is 11300113547. The next prime is 11300113553. The reversal of 11300113552 is 25531100311.

It is not an unprimeable number, because it can be changed into a prime (11300113553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116495968 + ... + 116496064.

It is an arithmetic number, because the mean of its divisors is an integer number (91869120).

Almost surely, 2^11300113552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11300113552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14699059200).

11300113552 is an abundant number, since it is smaller than the sum of its proper divisors (18098004848).

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

11300113552 is a wasteful number, since it uses less digits than its factorization.

11300113552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

Adding to 11300113552 its reverse (25531100311), we get a palindrome (36831213863).

The spelling of 11300113552 in words is "eleven billion, three hundred million, one hundred thirteen thousand, five hundred fifty-two".