22288780800 has 1440 divisors, whose sum is σ = 99203338080. Its totient is φ = 4866048000.

The previous prime is 22288780757. The next prime is 22288780831. The reversal of 22288780800 is 808788222.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 543628780 + ... + 543628820.

It is an arithmetic number, because the mean of its divisors is an integer number (68891207).

Almost surely, 2^22288780800 is an apocalyptic number.

22288780800 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 22288780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49601669040).

22288780800 is an abundant number, since it is smaller than the sum of its proper divisors (76914557280).

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

22288780800 is a wasteful number, since it uses less digits than its factorization.

22288780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 22288780800 in words is "twenty-two billion, two hundred eighty-eight million, seven hundred eighty thousand, eight hundred".