227853795018240 has 1600 divisors, whose sum is σ = 873911941056000. Its totient is φ = 56571545124864.

The previous prime is 227853795018193. The next prime is 227853795018271. The reversal of 227853795018240 is 42810597358722.

227853795018240 is a `hidden beast` number, since 2 + 2 + 7 + 8 + 5 + 3 + 7 + 9 + 501 + 82 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 162869045061 + ... + 162869046459.

It is an arithmetic number, because the mean of its divisors is an integer number (546194963160).

Almost surely, 2^{227853795018240} is an apocalyptic number.

227853795018240 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 227853795018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436955970528000).

227853795018240 is an abundant number, since it is smaller than the sum of its proper divisors (646058146037760).

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

227853795018240 is a wasteful number, since it uses less digits than its factorization.

227853795018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 227853795018240 in words is "two hundred twenty-seven trillion, eight hundred fifty-three billion, seven hundred ninety-five million, eighteen thousand, two hundred forty".