11381120720 has 80 divisors (see below), whose sum is σ = 26762037120. Its totient is φ = 4500979200.

The previous prime is 11381120719. The next prime is 11381120759. The reversal of 11381120720 is 2702118311.

11381120720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 11381120720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2589725 + ... + 2594115.

It is an arithmetic number, because the mean of its divisors is an integer number (334525464).

Almost surely, 2^11381120720 is an apocalyptic number.

11381120720 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 11381120720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13381018560).

11381120720 is an abundant number, since it is smaller than the sum of its proper divisors (15380916400).

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

11381120720 is a wasteful number, since it uses less digits than its factorization.

11381120720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764 (or 4758 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 26.

The spelling of 11381120720 in words is "eleven billion, three hundred eighty-one million, one hundred twenty thousand, seven hundred twenty".