227825853118560 has 2304 divisors, whose sum is σ = 916575118018560. Its totient is φ = 51165261987840.

The previous prime is 227825853118519. The next prime is 227825853118607. The reversal of 227825853118560 is 65811358528722.

227825853118560 is a `hidden beast` number, since 2 + 2 + 7 + 8 + 2 + 5 + 8 + 53 + 1 + 18 + 560 = 666.

227825853118560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 91976524042 + ... + 91976526518.

It is an arithmetic number, because the mean of its divisors is an integer number (397819061640).

Almost surely, 2^{227825853118560} is an apocalyptic number.

227825853118560 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 227825853118560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458287559009280).

227825853118560 is an abundant number, since it is smaller than the sum of its proper divisors (688749264900000).

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

227825853118560 is a wasteful number, since it uses less digits than its factorization.

227825853118560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 227825853118560 in words is "two hundred twenty-seven trillion, eight hundred twenty-five billion, eight hundred fifty-three million, one hundred eighteen thousand, five hundred sixty".