225152256000 has 1152 divisors, whose sum is σ = 904201159680. Its totient is φ = 49545216000.

The previous prime is 225152255987. The next prime is 225152256019. The reversal of 225152256000 is 652251522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1166591904 + ... + 1166592096.

It is an arithmetic number, because the mean of its divisors is an integer number (784896840).

Almost surely, 2^225152256000 is an apocalyptic number.

225152256000 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 225152256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452100579840).

225152256000 is an abundant number, since it is smaller than the sum of its proper divisors (679048903680).

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

225152256000 is a wasteful number, since it uses less digits than its factorization.

225152256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 225152256000 in words is "two hundred twenty-five billion, one hundred fifty-two million, two hundred fifty-six thousand".