225425386560 has 448 divisors, whose sum is σ = 803016716544. Its totient is φ = 53103820800.

The previous prime is 225425386547. The next prime is 225425386561. The reversal of 225425386560 is 65683524522.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (225425386561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126856392 + ... + 126858168.

It is an arithmetic number, because the mean of its divisors is an integer number (1792448028).

Almost surely, 2^225425386560 is an apocalyptic number.

225425386560 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 225425386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401508358272).

225425386560 is an abundant number, since it is smaller than the sum of its proper divisors (577591329984).

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

225425386560 is a wasteful number, since it uses less digits than its factorization.

225425386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 225425386560 in words is "two hundred twenty-five billion, four hundred twenty-five million, three hundred eighty-six thousand, five hundred sixty".