22824785280 has 512 divisors, whose sum is σ = 83330311680. Its totient is φ = 5264179200.

The previous prime is 22824785257. The next prime is 22824785299. The reversal of 22824785280 is 8258742822.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 37234254 + ... + 37234866.

It is an arithmetic number, because the mean of its divisors is an integer number (162754515).

Almost surely, 2^22824785280 is an apocalyptic number.

22824785280 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 22824785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41665155840).

22824785280 is an abundant number, since it is smaller than the sum of its proper divisors (60505526400).

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

22824785280 is a wasteful number, since it uses less digits than its factorization.

22824785280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 48.

The spelling of 22824785280 in words is "twenty-two billion, eight hundred twenty-four million, seven hundred eighty-five thousand, two hundred eighty".