226870882560 has 1152 divisors, whose sum is σ = 956827468800. Its totient is φ = 49828331520.

The previous prime is 226870882529. The next prime is 226870882619. The reversal of 226870882560 is 65288078622.

226870882560 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 70 + 8 + 8 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 226870882497 and 226870882506.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 882765952 + ... + 882766208.

It is an arithmetic number, because the mean of its divisors is an integer number (830579400).

Almost surely, 2^226870882560 is an apocalyptic number.

226870882560 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 226870882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478413734400).

226870882560 is an abundant number, since it is smaller than the sum of its proper divisors (729956586240).

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

226870882560 is a wasteful number, since it uses less digits than its factorization.

226870882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 226870882560 in words is "two hundred twenty-six billion, eight hundred seventy million, eight hundred eighty-two thousand, five hundred sixty".