226588078080 has 2080 divisors, whose sum is σ = 1065642547200. Its totient is φ = 44718096384.

The previous prime is 226588078069. The next prime is 226588078111. The reversal of 226588078080 is 80870885622.

It is a tau number, because it is divible by the number of its divisors (2080).

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 159 ways as a sum of consecutive naturals, for example, 2868203481 + ... + 2868203559.

Almost surely, 2^226588078080 is an apocalyptic number.

226588078080 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 226588078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532821273600).

226588078080 is an abundant number, since it is smaller than the sum of its proper divisors (839054469120).

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

226588078080 is a wasteful number, since it uses less digits than its factorization.

226588078080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 226588078080 in words is "two hundred twenty-six billion, five hundred eighty-eight million, seventy-eight thousand, eighty".