11682416054540 has 192 divisors, whose sum is σ = 31337314477056. Its totient is φ = 3551938560000.

The previous prime is 11682416054527. The next prime is 11682416054563. The reversal of 11682416054540 is 4545061428611.

It is a super-3 number, since 3×11682416054540³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 839186780 + ... + 839200700.

It is an arithmetic number, because the mean of its divisors is an integer number (163215179568).

Almost surely, 2^{11682416054540} is an apocalyptic number.

11682416054540 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 11682416054540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668657238528).

11682416054540 is an abundant number, since it is smaller than the sum of its proper divisors (19654898422516).

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

11682416054540 is a wasteful number, since it uses less digits than its factorization.

11682416054540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27280 (or 27278 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 47.

The spelling of 11682416054540 in words is "eleven trillion, six hundred eighty-two billion, four hundred sixteen million, fifty-four thousand, five hundred forty".