223053264000 has 1280 divisors, whose sum is σ = 988860787200. Its totient is φ = 48721305600.

The previous prime is 223053263989. The next prime is 223053264017. The reversal of 223053264000 is 462350322.

223053264000 is a `hidden beast` number, since 2 + 230 + 5 + 3 + 26 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 208655466 + ... + 208656534.

It is an arithmetic number, because the mean of its divisors is an integer number (772547490).

Almost surely, 2^223053264000 is an apocalyptic number.

223053264000 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 223053264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494430393600).

223053264000 is an abundant number, since it is smaller than the sum of its proper divisors (765807523200).

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

223053264000 is a wasteful number, since it uses less digits than its factorization.

223053264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 223053264000 in words is "two hundred twenty-three billion, fifty-three million, two hundred sixty-four thousand".