223879956480 has 480 divisors, whose sum is σ = 828435928320. Its totient is φ = 57768837120.

The previous prime is 223879956467. The next prime is 223879956499. The reversal of 223879956480 is 84659978322.

223879956480 is a `hidden beast` number, since 2 + 2 + 38 + 79 + 9 + 56 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×223879956480³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25708287 + ... + 25716993.

It is an arithmetic number, because the mean of its divisors is an integer number (1725908184).

Almost surely, 2^223879956480 is an apocalyptic number.

223879956480 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 223879956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414217964160).

223879956480 is an abundant number, since it is smaller than the sum of its proper divisors (604555971840).

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

223879956480 is an equidigital number, since it uses as much as digits as its factorization.

223879956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8777 (or 8748 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 223879956480 in words is "two hundred twenty-three billion, eight hundred seventy-nine million, nine hundred fifty-six thousand, four hundred eighty".