225833287680000 has 7600 divisors, whose sum is σ = 1198608262879104. Its totient is φ = 40768634880000.

The previous prime is 225833287679999. The next prime is 225833287680043. The reversal of 225833287680000 is 86782338522.

225833287680000 is a `hidden beast` number, since 2 + 258 + 3 + 328 + 7 + 68 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 13284311039992 + ... + 13284311040008.

Almost surely, 2^{225833287680000} is an apocalyptic number.

225833287680000 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 225833287680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599304131439552).

225833287680000 is an abundant number, since it is smaller than the sum of its proper divisors (972774975199104).

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

225833287680000 is an frugal number, since it uses more digits than its factorization.

225833287680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 225833287680000 in words is "two hundred twenty-five trillion, eight hundred thirty-three billion, two hundred eighty-seven million, six hundred eighty thousand".