11722908960 has 864 divisors, whose sum is σ = 51123486960. Its totient is φ = 2427715584.

The previous prime is 11722908959. The next prime is 11722909001. The reversal of 11722908960 is 6980922711.

11722908960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5501485584 + 6221423376 = 74172^2 + 78876^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 34785912 + ... + 34786248.

Almost surely, 2^11722908960 is an apocalyptic number.

11722908960 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 11722908960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25561743480).

11722908960 is an abundant number, since it is smaller than the sum of its proper divisors (39400578000).

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

11722908960 is a wasteful number, since it uses less digits than its factorization.

11722908960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 11722908960 in words is "eleven billion, seven hundred twenty-two million, nine hundred eight thousand, nine hundred sixty".