11667408480 has 720 divisors, whose sum is σ = 51023849184. Its totient is φ = 2458460160.

The previous prime is 11667408469. The next prime is 11667408491. The reversal of 11667408480 is 8480476611.

11667408480 is a `hidden beast` number, since 1 + 166 + 7 + 4 + 0 + 8 + 480 = 666.

11667408480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11667408469) and next prime (11667408491).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×11667408480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 15331300 + ... + 15332060.

Almost surely, 2^11667408480 is an apocalyptic number.

11667408480 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 11667408480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25511924592).

11667408480 is an abundant number, since it is smaller than the sum of its proper divisors (39356440704).

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

11667408480 is a wasteful number, since it uses less digits than its factorization.

11667408480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 11667408480 in words is "eleven billion, six hundred sixty-seven million, four hundred eight thousand, four hundred eighty".