11693468160 has 960 divisors, whose sum is σ = 48029604480. Its totient is φ = 2601123840.

The previous prime is 11693468141. The next prime is 11693468161. The reversal of 11693468160 is 6186439611.

It is a tau number, because it is divible by the number of its divisors (960).

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 (11693468161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 271941099 + ... + 271941141.

It is an arithmetic number, because the mean of its divisors is an integer number (50030838).

Almost surely, 2^11693468160 is an apocalyptic number.

11693468160 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 11693468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24014802240).

11693468160 is an abundant number, since it is smaller than the sum of its proper divisors (36336136320).

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

11693468160 is a wasteful number, since it uses less digits than its factorization.

11693468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 11693468160 in words is "eleven billion, six hundred ninety-three million, four hundred sixty-eight thousand, one hundred sixty".