11381022720 has 448 divisors, whose sum is σ = 41615441280. Its totient is φ = 2949120000.

The previous prime is 11381022701. The next prime is 11381022727. The reversal of 11381022720 is 2722018311.

11381022720 is a `hidden beast` number, since 11 + 381 + 0 + 2 + 272 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11381022727) 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 31 ways as a sum of consecutive naturals, for example, 45342595 + ... + 45342845.

It is an arithmetic number, because the mean of its divisors is an integer number (92891610).

Almost surely, 2^11381022720 is an apocalyptic number.

11381022720 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 11381022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20807720640).

11381022720 is an abundant number, since it is smaller than the sum of its proper divisors (30234418560).

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

11381022720 is an equidigital number, since it uses as much as digits as its factorization.

11381022720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 11381022720 in words is "eleven billion, three hundred eighty-one million, twenty-two thousand, seven hundred twenty".