22659685440 has 336 divisors, whose sum is σ = 84371761152. Its totient is φ = 5137219584.

The previous prime is 22659685403. The next prime is 22659685453. The reversal of 22659685440 is 4458695622.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×22659685440² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5972184 + ... + 5975976.

It is an arithmetic number, because the mean of its divisors is an integer number (251106432).

Almost surely, 2^22659685440 is an apocalyptic number.

22659685440 is a gapful number since it is divisible by the number (20) 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 22659685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42185880576).

22659685440 is an abundant number, since it is smaller than the sum of its proper divisors (61712075712).

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

22659685440 is a wasteful number, since it uses less digits than its factorization.

22659685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 22659685440 in words is "twenty-two billion, six hundred fifty-nine million, six hundred eighty-five thousand, four hundred forty".