227255145689520 has 960 divisors, whose sum is σ = 890832733056000. Its totient is φ = 53122346754048.

The previous prime is 227255145689479. The next prime is 227255145689609. The reversal of 227255145689520 is 25986541552722.

227255145689520 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 5 + 5 + 1 + 45 + 68 + 9 + 520 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1166935516 + ... + 1167130244.

It is an arithmetic number, because the mean of its divisors is an integer number (927950763600).

Almost surely, 2^{227255145689520} is an apocalyptic number.

227255145689520 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 227255145689520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445416366528000).

227255145689520 is an abundant number, since it is smaller than the sum of its proper divisors (663577587366480).

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

227255145689520 is a wasteful number, since it uses less digits than its factorization.

227255145689520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194939 (or 194914 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 63.

The spelling of 227255145689520 in words is "two hundred twenty-seven trillion, two hundred fifty-five billion, one hundred forty-five million, six hundred eighty-nine thousand, five hundred twenty".