226880158780800 has 2304 divisors, whose sum is σ = 979122032179200. Its totient is φ = 48903977041920.

The previous prime is 226880158780787. The next prime is 226880158780859. The reversal of 226880158780800 is 8087851088622.

226880158780800 is a `hidden beast` number, since 2 + 268 + 80 + 158 + 78 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 207575625054 + ... + 207575626146.

It is an arithmetic number, because the mean of its divisors is an integer number (424966159800).

Almost surely, 2^{226880158780800} is an apocalyptic number.

226880158780800 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 226880158780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489561016089600).

226880158780800 is an abundant number, since it is smaller than the sum of its proper divisors (752241873398400).

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

226880158780800 is a wasteful number, since it uses less digits than its factorization.

226880158780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 27525120, while the sum is 63.

The spelling of 226880158780800 in words is "two hundred twenty-six trillion, eight hundred eighty billion, one hundred fifty-eight million, seven hundred eighty thousand, eight hundred".