226565095680 has 1152 divisors, whose sum is σ = 1055371161600. Its totient is φ = 44590694400.

The previous prime is 226565095651. The next prime is 226565095721. The reversal of 226565095680 is 86590565622.

226565095680 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 6 + 509 + 56 + 80 = 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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50559040 + ... + 50563520.

It is an arithmetic number, because the mean of its divisors is an integer number (916120800).

Almost surely, 2^226565095680 is an apocalyptic number.

226565095680 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 226565095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527685580800).

226565095680 is an abundant number, since it is smaller than the sum of its proper divisors (828806065920).

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

226565095680 is a wasteful number, since it uses less digits than its factorization.

226565095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4548 (or 4528 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 226565095680 in words is "two hundred twenty-six billion, five hundred sixty-five million, ninety-five thousand, six hundred eighty".