22269288960 has 640 divisors, whose sum is σ = 86108774400. Its totient is φ = 5434490880.

The previous prime is 22269288931. The next prime is 22269288989. The reversal of 22269288960 is 6988296222.

It is an interprime number because it is at equal distance from previous prime (22269288931) and next prime (22269288989).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 22269288897 and 22269288906.

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, 40711407 + ... + 40711953.

It is an arithmetic number, because the mean of its divisors is an integer number (134544960).

Almost surely, 2^22269288960 is an apocalyptic number.

22269288960 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 22269288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43054387200).

22269288960 is an abundant number, since it is smaller than the sum of its proper divisors (63839485440).

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

22269288960 is a wasteful number, since it uses less digits than its factorization.

22269288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 22269288960 in words is "twenty-two billion, two hundred sixty-nine million, two hundred eighty-eight thousand, nine hundred sixty".