226175989093560 has 1152 divisors, whose sum is σ = 861652794562560. Its totient is φ = 51235203317760.

The previous prime is 226175989093531. The next prime is 226175989093573. The reversal of 226175989093560 is 65390989571622.

It is a happy number.

226175989093560 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 7 + 59 + 8 + 9 + 0 + 9 + 3 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 84174166537 + ... + 84174169223.

It is an arithmetic number, because the mean of its divisors is an integer number (747962495280).

Almost surely, 2^{226175989093560} is an apocalyptic number.

226175989093560 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 226175989093560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430826397281280).

226175989093560 is an abundant number, since it is smaller than the sum of its proper divisors (635476805469000).

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

226175989093560 is a wasteful number, since it uses less digits than its factorization.

226175989093560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

It can be divided in two parts, 2261759 and 89093560, that added together give a palindrome (91355319).

The spelling of 226175989093560 in words is "two hundred twenty-six trillion, one hundred seventy-five billion, nine hundred eighty-nine million, ninety-three thousand, five hundred sixty".