225555351001200 has 1440 divisors, whose sum is σ = 937093241747520. Its totient is φ = 49612721356800.

The previous prime is 225555351001121. The next prime is 225555351001213. The reversal of 225555351001200 is 2100153555522.

225555351001200 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 5 + 535 + 100 + 12 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2714974062 + ... + 2715057138.

It is an arithmetic number, because the mean of its divisors is an integer number (650759195658).

Almost surely, 2^{225555351001200} is an apocalyptic number.

225555351001200 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 225555351001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468546620873760).

225555351001200 is an abundant number, since it is smaller than the sum of its proper divisors (711537890746320).

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

225555351001200 is a wasteful number, since it uses less digits than its factorization.

225555351001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83275 (or 83261 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 225555351001200 in words is "two hundred twenty-five trillion, five hundred fifty-five billion, three hundred fifty-one million, one thousand, two hundred".