11740716000 has 288 divisors, whose sum is σ = 44874805248. Its totient is φ = 2889907200.

The previous prime is 11740715977. The next prime is 11740716017. The reversal of 11740716000 is 61704711.

11740716000 is a `hidden beast` number, since 1 + 17 + 40 + 7 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 455457 + ... + 480543.

It is an arithmetic number, because the mean of its divisors is an integer number (155815296).

Almost surely, 2^11740716000 is an apocalyptic number.

11740716000 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 11740716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22437402624).

11740716000 is an abundant number, since it is smaller than the sum of its proper divisors (33134089248).

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

11740716000 is a wasteful number, since it uses less digits than its factorization.

11740716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25131 (or 25110 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The spelling of 11740716000 in words is "eleven billion, seven hundred forty million, seven hundred sixteen thousand".