225600771876480 has 4608 divisors, whose sum is σ = 1100277374976000. Its totient is φ = 41312482099200.

The previous prime is 225600771876461. The next prime is 225600771876497. The reversal of 225600771876480 is 84678177006522.

It is a happy number.

225600771876480 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 0 + 0 + 7 + 71 + 87 + 6 + 480 = 666.

225600771876480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×225600771876480³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 183564500506 + ... + 183564501734.

It is an arithmetic number, because the mean of its divisors is an integer number (238775472000).

Almost surely, 2^{225600771876480} is an apocalyptic number.

225600771876480 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 225600771876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550138687488000).

225600771876480 is an abundant number, since it is smaller than the sum of its proper divisors (874676603099520).

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

225600771876480 is a wasteful number, since it uses less digits than its factorization.

225600771876480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 225600771876480 in words is "two hundred twenty-five trillion, six hundred billion, seven hundred seventy-one million, eight hundred seventy-six thousand, four hundred eighty".