11724672960 has 1344 divisors, whose sum is σ = 55917388800. Its totient is φ = 2221793280.

The previous prime is 11724672923. The next prime is 11724672977. The reversal of 11724672960 is 6927642711.

11724672960 is a `hidden beast` number, since 117 + 246 + 7 + 296 + 0 = 666.

11724672960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 141261079 + ... + 141261161.

It is an arithmetic number, because the mean of its divisors is an integer number (41605200).

Almost surely, 2^11724672960 is an apocalyptic number.

11724672960 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 11724672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27958694400).

11724672960 is an abundant number, since it is smaller than the sum of its proper divisors (44192715840).

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

11724672960 is a wasteful number, since it uses less digits than its factorization.

11724672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 11724672960 in words is "eleven billion, seven hundred twenty-four million, six hundred seventy-two thousand, nine hundred sixty".