225897345077760 has 960 divisors, whose sum is σ = 815905778688000. Its totient is φ = 57710550712320.

The previous prime is 225897345077741. The next prime is 225897345077827. The reversal of 225897345077760 is 67770543798522.

225897345077760 is a `hidden beast` number, since 2 + 2 + 5 + 89 + 7 + 34 + 507 + 7 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×225897345077760² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71283477456 + ... + 71283480624.

It is an arithmetic number, because the mean of its divisors is an integer number (849901852800).

Almost surely, 2^{225897345077760} is an apocalyptic number.

225897345077760 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 225897345077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407952889344000).

225897345077760 is an abundant number, since it is smaller than the sum of its proper divisors (590008433610240).

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

225897345077760 is a wasteful number, since it uses less digits than its factorization.

225897345077760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4577 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 1244678400, while the sum is 72.

The spelling of 225897345077760 in words is "two hundred twenty-five trillion, eight hundred ninety-seven billion, three hundred forty-five million, seventy-seven thousand, seven hundred sixty".