11695726080 has 320 divisors, whose sum is σ = 42077217600. Its totient is φ = 3117367296.

The previous prime is 11695726073. The next prime is 11695726087. The reversal of 11695726080 is 8062759611.

11695726080 is a `hidden beast` number, since 1 + 16 + 9 + 572 + 60 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11695726073) and next prime (11695726087).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11695726087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5597676 + ... + 5599764.

It is an arithmetic number, because the mean of its divisors is an integer number (131491305).

Almost surely, 2^11695726080 is an apocalyptic number.

11695726080 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 11695726080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21038608800).

11695726080 is an abundant number, since it is smaller than the sum of its proper divisors (30381491520).

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

11695726080 is an frugal number, since it uses more digits than its factorization.

11695726080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11695726080 in words is "eleven billion, six hundred ninety-five million, seven hundred twenty-six thousand, eighty".