11725959168 has 832 divisors, whose sum is σ = 46425277440. Its totient is φ = 2866544640.

The previous prime is 11725959143. The next prime is 11725959187. The reversal of 11725959168 is 86195952711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1360800) is a multiple of the sum of its prime divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 689762296 + ... + 689762312.

Almost surely, 2^11725959168 is an apocalyptic number.

11725959168 is a gapful number since it is divisible by the number (18) 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 11725959168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23212638720).

11725959168 is an abundant number, since it is smaller than the sum of its proper divisors (34699318272).

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

11725959168 is an frugal number, since it uses more digits than its factorization.

11725959168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 40 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 54.

The spelling of 11725959168 in words is "eleven billion, seven hundred twenty-five million, nine hundred fifty-nine thousand, one hundred sixty-eight".