226016757120 has 1536 divisors, whose sum is σ = 1003654540800. Its totient is φ = 42581360640.

The previous prime is 226016757119. The next prime is 226016757133. The reversal of 226016757120 is 21757610622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 510195619 + ... + 510196061.

It is an arithmetic number, because the mean of its divisors is an integer number (653420925).

Almost surely, 2^226016757120 is an apocalyptic number.

226016757120 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 226016757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501827270400).

226016757120 is an abundant number, since it is smaller than the sum of its proper divisors (777637783680).

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

226016757120 is a wasteful number, since it uses less digits than its factorization.

226016757120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 226016757120 in words is "two hundred twenty-six billion, sixteen million, seven hundred fifty-seven thousand, one hundred twenty".