223025054630400 has 720 divisors, whose sum is σ = 894236474184768. Its totient is φ = 52605407232000.

The previous prime is 223025054630383. The next prime is 223025054630453. The reversal of 223025054630400 is 4036450520322.

223025054630400 is a `hidden beast` number, since 2 + 2 + 30 + 2 + 50 + 546 + 30 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44508045 + ... + 49264755.

Almost surely, 2^{223025054630400} is an apocalyptic number.

223025054630400 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 223025054630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447118237092384).

223025054630400 is an abundant number, since it is smaller than the sum of its proper divisors (671211419554368).

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

223025054630400 is a wasteful number, since it uses less digits than its factorization.

223025054630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4756793 (or 4756769 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 223025054630400 in words is "two hundred twenty-three trillion, twenty-five billion, fifty-four million, six hundred thirty thousand, four hundred".