11785410720 has 288 divisors, whose sum is σ = 41191742592. Its totient is φ = 3067324416.

The previous prime is 11785410719. The next prime is 11785410727. The reversal of 11785410720 is 2701458711.

11785410720 is a `hidden beast` number, since 1 + 178 + 5 + 410 + 72 + 0 = 666.

11785410720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (11785410727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23429989 + ... + 23430491.

It is an arithmetic number, because the mean of its divisors is an integer number (143026884).

Almost surely, 2^11785410720 is an apocalyptic number.

11785410720 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 11785410720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20595871296).

11785410720 is an abundant number, since it is smaller than the sum of its proper divisors (29406331872).

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

11785410720 is a wasteful number, since it uses less digits than its factorization.

11785410720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 11785410720 in words is "eleven billion, seven hundred eighty-five million, four hundred ten thousand, seven hundred twenty".