11684854077120 has 672 divisors, whose sum is σ = 46687393259520. Its totient is φ = 2627188162560.

The previous prime is 11684854077097. The next prime is 11684854077121. The reversal of 11684854077120 is 2177045848611.

It is a happy number.

11684854077120 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 4 + 8 + 540 + 7 + 71 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (11684854077121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 431591904 + ... + 431618976.

Almost surely, 2^{11684854077120} is an apocalyptic number.

11684854077120 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 11684854077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23343696629760).

11684854077120 is an abundant number, since it is smaller than the sum of its proper divisors (35002539182400).

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

11684854077120 is a wasteful number, since it uses less digits than its factorization.

11684854077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27453 (or 27440 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 11684854077120 in words is "eleven trillion, six hundred eighty-four billion, eight hundred fifty-four million, seventy-seven thousand, one hundred twenty".