11660004867456 has 1280 divisors, whose sum is σ = 39742345843200. Its totient is φ = 3362456862720.

The previous prime is 11660004867389. The next prime is 11660004867481. The reversal of 11660004867456 is 65476840006611.

11660004867456 is a `hidden beast` number, since 116 + 6 + 0 + 0 + 0 + 486 + 7 + 45 + 6 = 666.

11660004867456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11660004867456² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 60414532896 + ... + 60414533088.

It is an arithmetic number, because the mean of its divisors is an integer number (31048707690).

Almost surely, 2^{11660004867456} is an apocalyptic number.

11660004867456 is a gapful number since it is divisible by the number (16) 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 11660004867456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19871172921600).

11660004867456 is an abundant number, since it is smaller than the sum of its proper divisors (28082340975744).

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

11660004867456 is a wasteful number, since it uses less digits than its factorization.

11660004867456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 11660004867456 in words is "eleven trillion, six hundred sixty billion, four million, eight hundred sixty-seven thousand, four hundred fifty-six".