223561788480 has 1792 divisors, whose sum is σ = 950156697600. Its totient is φ = 49662885888.

The previous prime is 223561788467. The next prime is 223561788511. The reversal of 223561788480 is 84887165322.

223561788480 is a `hidden beast` number, since 2 + 2 + 3 + 561 + 78 + 8 + 4 + 8 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5199111339 + ... + 5199111381.

Almost surely, 2^223561788480 is an apocalyptic number.

223561788480 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 223561788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475078348800).

223561788480 is an abundant number, since it is smaller than the sum of its proper divisors (726594909120).

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

223561788480 is a wasteful number, since it uses less digits than its factorization.

223561788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 223561788480 in words is "two hundred twenty-three billion, five hundred sixty-one million, seven hundred eighty-eight thousand, four hundred eighty".