11694735360 has 768 divisors, whose sum is σ = 51035512320. Its totient is φ = 2406481920.

The previous prime is 11694735323. The next prime is 11694735401. The reversal of 11694735360 is 6353749611.

It is a happy number.

11694735360 is a `hidden beast` number, since 11 + 69 + 47 + 3 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113541069 + ... + 113541171.

It is an arithmetic number, because the mean of its divisors is an integer number (66452490).

Almost surely, 2^11694735360 is an apocalyptic number.

11694735360 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 11694735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25517756160).

11694735360 is an abundant number, since it is smaller than the sum of its proper divisors (39340776960).

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

11694735360 is a wasteful number, since it uses less digits than its factorization.

11694735360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 11694735360 in words is "eleven billion, six hundred ninety-four million, seven hundred thirty-five thousand, three hundred sixty".