225187401600 has 576 divisors, whose sum is σ = 921787251840. Its totient is φ = 51276533760.

The previous prime is 225187401587. The next prime is 225187401601. The reversal of 225187401600 is 6104781522.

225187401600 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 8 + 7 + 40 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225187401601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57050827 + ... + 57054773.

It is an arithmetic number, because the mean of its divisors is an integer number (1600325090).

Almost surely, 2^225187401600 is an apocalyptic number.

225187401600 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 225187401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460893625920).

225187401600 is an abundant number, since it is smaller than the sum of its proper divisors (696599850240).

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

225187401600 is a wasteful number, since it uses less digits than its factorization.

225187401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4267 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 225187401600 in words is "two hundred twenty-five billion, one hundred eighty-seven million, four hundred one thousand, six hundred".