225002771758080 has 2816 divisors, whose sum is σ = 909715359744000. Its totient is φ = 52438656614400.

The previous prime is 225002771758073. The next prime is 225002771758133. The reversal of 225002771758080 is 80857177200522.

It is a happy number.

225002771758080 is a `hidden beast` number, since 2 + 2 + 50 + 0 + 2 + 7 + 7 + 1 + 7 + 580 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 593674859331 + ... + 593674859709.

Almost surely, 2^{225002771758080} is an apocalyptic number.

225002771758080 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 225002771758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454857679872000).

225002771758080 is an abundant number, since it is smaller than the sum of its proper divisors (684712587985920).

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

225002771758080 is a wasteful number, since it uses less digits than its factorization.

225002771758080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 4390400, while the sum is 54.

The spelling of 225002771758080 in words is "two hundred twenty-five trillion, two billion, seven hundred seventy-one million, seven hundred fifty-eight thousand, eighty".