11253381120 has 288 divisors, whose sum is σ = 40705610400. Its totient is φ = 2869886976.

The previous prime is 11253381119. The next prime is 11253381121. The reversal of 11253381120 is 2118335211.

11253381120 is a `hidden beast` number, since 1 + 1 + 2 + 533 + 8 + 1 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (11253381119) and next prime (11253381121).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11253381121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2117026 + ... + 2122334.

It is an arithmetic number, because the mean of its divisors is an integer number (141338925).

Almost surely, 2^11253381120 is an apocalyptic number.

11253381120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11253381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20352805200).

11253381120 is an abundant number, since it is smaller than the sum of its proper divisors (29452229280).

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

11253381120 is a wasteful number, since it uses less digits than its factorization.

11253381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5365 (or 5342 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11253381120 in words is "eleven billion, two hundred fifty-three million, three hundred eighty-one thousand, one hundred twenty".