225793370880 has 720 divisors, whose sum is σ = 1007324930304. Its totient is φ = 46916444160.

The previous prime is 225793370851. The next prime is 225793370923. The reversal of 225793370880 is 88073397522.

225793370880 is a `hidden beast` number, since 225 + 7 + 9 + 337 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7969219 + ... + 7997501.

Almost surely, 2^225793370880 is an apocalyptic number.

225793370880 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 225793370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503662465152).

225793370880 is an abundant number, since it is smaller than the sum of its proper divisors (781531559424).

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

225793370880 is a wasteful number, since it uses less digits than its factorization.

225793370880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28334 (or 28311 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 225793370880 in words is "two hundred twenty-five billion, seven hundred ninety-three million, three hundred seventy thousand, eight hundred eighty".