11720284880 has 20 divisors (see below), whose sum is σ = 27249662532. Its totient is φ = 4688113920.

The previous prime is 11720284817. The next prime is 11720284883. The reversal of 11720284880 is 8848202711.

11720284880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6846569536 + 4873715344 = 82744^2 + 69812^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×11720284880² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11720284883) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 73251701 + ... + 73251860.

Almost surely, 2^11720284880 is an apocalyptic number.

11720284880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11720284880 is an abundant number, since it is smaller than the sum of its proper divisors (15529377652).

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

11720284880 is a wasteful number, since it uses less digits than its factorization.

11720284880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146503574 (or 146503568 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 41.

The spelling of 11720284880 in words is "eleven billion, seven hundred twenty million, two hundred eighty-four thousand, eight hundred eighty".