22465726800 has 240 divisors, whose sum is σ = 78672964608. Its totient is φ = 5434764800.

The previous prime is 22465726799. The next prime is 22465726817. The reversal of 22465726800 is 862756422.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 7430089 + ... + 7433111.

Almost surely, 2^22465726800 is an apocalyptic number.

22465726800 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 22465726800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39336482304).

22465726800 is an abundant number, since it is smaller than the sum of its proper divisors (56207237808).

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

22465726800 is a wasteful number, since it uses less digits than its factorization.

22465726800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 22465726800 in words is "twenty-two billion, four hundred sixty-five million, seven hundred twenty-six thousand, eight hundred".