11722060800 has 330 divisors, whose sum is σ = 43413091238. Its totient is φ = 3125329920.

The previous prime is 11722060799. The next prime is 11722060807. The reversal of 11722060800 is 806022711.

It can be written as a sum of positive squares in 3 ways, for example, as 1792336896 + 9929723904 = 42336^2 + 99648^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11722060807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2070774 + ... + 2076426.

Almost surely, 2^11722060800 is an apocalyptic number.

11722060800 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 11722060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21706545619).

11722060800 is an abundant number, since it is smaller than the sum of its proper divisors (31691030438).

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

11722060800 is an equidigital number, since it uses as much as digits as its factorization.

11722060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5695 (or 5663 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 11722060800 in words is "eleven billion, seven hundred twenty-two million, sixty thousand, eight hundred".