22506603840 has 448 divisors, whose sum is σ = 91249804800. Its totient is φ = 5115543552.

The previous prime is 22506603829. The next prime is 22506603863. The reversal of 22506603840 is 4830660522.

22506603840 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 6 + 603 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22506603795 and 22506603804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11913616 + ... + 11915504.

It is an arithmetic number, because the mean of its divisors is an integer number (203682600).

Almost surely, 2^22506603840 is an apocalyptic number.

22506603840 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 22506603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45624902400).

22506603840 is an abundant number, since it is smaller than the sum of its proper divisors (68743200960).

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

22506603840 is a wasteful number, since it uses less digits than its factorization.

22506603840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 22506603840 in words is "twenty-two billion, five hundred six million, six hundred three thousand, eight hundred forty".