22653765222000 has 1280 divisors, whose sum is σ = 86312395653120. Its totient is φ = 5053880832000.

The previous prime is 22653765221947. The next prime is 22653765222001. The reversal of 22653765222000 is 22256735622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22653765222001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15275633259 + ... + 15275634741.

It is an arithmetic number, because the mean of its divisors is an integer number (67431559104).

Almost surely, 2^{22653765222000} is an apocalyptic number.

22653765222000 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 22653765222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43156197826560).

22653765222000 is an abundant number, since it is smaller than the sum of its proper divisors (63658630431120).

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

22653765222000 is a wasteful number, since it uses less digits than its factorization.

22653765222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 22653765222000 in words is "twenty-two trillion, six hundred fifty-three billion, seven hundred sixty-five million, two hundred twenty-two thousand".