11797436160 has 504 divisors, whose sum is σ = 43430748480. Its totient is φ = 3067600896.

The previous prime is 11797436159. The next prime is 11797436213. The reversal of 11797436160 is 6163479711.

11797436160 is a `hidden beast` number, since 117 + 97 + 436 + 16 + 0 = 666.

11797436160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 43856506 + ... + 43856774.

It is an arithmetic number, because the mean of its divisors is an integer number (86172120).

Almost surely, 2^11797436160 is an apocalyptic number.

11797436160 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 11797436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21715374240).

11797436160 is an abundant number, since it is smaller than the sum of its proper divisors (31633312320).

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

11797436160 is an frugal number, since it uses more digits than its factorization.

11797436160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 11797436160 in words is "eleven billion, seven hundred ninety-seven million, four hundred thirty-six thousand, one hundred sixty".