11728299960 has 512 divisors, whose sum is σ = 43850419200. Its totient is φ = 2769500160.

The previous prime is 11728299953. The next prime is 11728299971. The reversal of 11728299960 is 6999282711.

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

It is a junction number, because it is equal to n+sod(n) for n = 11728299897 and 11728299906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55584255 + ... + 55584465.

It is an arithmetic number, because the mean of its divisors is an integer number (85645350).

Almost surely, 2^11728299960 is an apocalyptic number.

11728299960 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 11728299960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21925209600).

11728299960 is an abundant number, since it is smaller than the sum of its proper divisors (32122119240).

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

11728299960 is a wasteful number, since it uses less digits than its factorization.

11728299960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 11728299960 in words is "eleven billion, seven hundred twenty-eight million, two hundred ninety-nine thousand, nine hundred sixty".