11741685120 has 576 divisors, whose sum is σ = 47235726720. Its totient is φ = 2676326400.

The previous prime is 11741685107. The next prime is 11741685121. The reversal of 11741685120 is 2158614711.

11741685120 is a `hidden beast` number, since 11 + 74 + 1 + 68 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11741685121) 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 71 ways as a sum of consecutive naturals, for example, 11847825 + ... + 11848815.

It is an arithmetic number, because the mean of its divisors is an integer number (82006470).

Almost surely, 2^11741685120 is an apocalyptic number.

11741685120 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 11741685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23617863360).

11741685120 is an abundant number, since it is smaller than the sum of its proper divisors (35494041600).

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

11741685120 is a wasteful number, since it uses less digits than its factorization.

11741685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 11741685120 in words is "eleven billion, seven hundred forty-one million, six hundred eighty-five thousand, one hundred twenty".