224799563520 has 576 divisors, whose sum is σ = 913807319040. Its totient is φ = 51263373312.

The previous prime is 224799563519. The next prime is 224799563537. The reversal of 224799563520 is 25365997422.

224799563520 is a `hidden beast` number, since 2 + 2 + 4 + 79 + 9 + 563 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 143457777 + ... + 143459343.

It is an arithmetic number, because the mean of its divisors is an integer number (1586471040).

Almost surely, 2^224799563520 is an apocalyptic number.

224799563520 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 224799563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456903659520).

224799563520 is an abundant number, since it is smaller than the sum of its proper divisors (689007755520).

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

224799563520 is a wasteful number, since it uses less digits than its factorization.

224799563520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 224799563520 in words is "two hundred twenty-four billion, seven hundred ninety-nine million, five hundred sixty-three thousand, five hundred twenty".