22772928865800 has 192 divisors, whose sum is σ = 72104076472320. Its totient is φ = 5943082210560.

The previous prime is 22772928865787. The next prime is 22772928865831. The reversal of 22772928865800 is 856882927722.

It is a Cunningham number, because it is equal to 4772099²-1.

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, 448552017 + ... + 448602783.

It is an arithmetic number, because the mean of its divisors is an integer number (375542064960).

Almost surely, 2^{22772928865800} is an apocalyptic number.

22772928865800 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 22772928865800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36052038236160).

22772928865800 is an abundant number, since it is smaller than the sum of its proper divisors (49331147606520).

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

22772928865800 is a wasteful number, since it uses less digits than its factorization.

22772928865800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66740 (or 66731 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 66.

The spelling of 22772928865800 in words is "twenty-two trillion, seven hundred seventy-two billion, nine hundred twenty-eight million, eight hundred sixty-five thousand, eight hundred".