225336753532800 has 5760 divisors, whose sum is σ = 1088891413632000. Its totient is φ = 44840243036160.

The previous prime is 225336753532783. The next prime is 225336753532811. The reversal of 225336753532800 is 8235357633522.

225336753532800 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 3 + 6 + 7 + 5 + 353 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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 719 ways as a sum of consecutive naturals, for example, 627678979021 + ... + 627678979379.

It is an arithmetic number, because the mean of its divisors is an integer number (189043648200).

Almost surely, 2^{225336753532800} is an apocalyptic number.

225336753532800 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 225336753532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544445706816000).

225336753532800 is an abundant number, since it is smaller than the sum of its proper divisors (863554660099200).

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

225336753532800 is a wasteful number, since it uses less digits than its factorization.

225336753532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 54.

The spelling of 225336753532800 in words is "two hundred twenty-five trillion, three hundred thirty-six billion, seven hundred fifty-three million, five hundred thirty-two thousand, eight hundred".