225001877760 has 720 divisors, whose sum is σ = 908707947840. Its totient is φ = 52657274880.

The previous prime is 225001877743. The next prime is 225001877761. The reversal of 225001877760 is 67778100522.

225001877760 is a `hidden beast` number, since 2 + 2 + 500 + 1 + 8 + 77 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (225001877761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33070519 + ... + 33077321.

It is an arithmetic number, because the mean of its divisors is an integer number (1262094372).

Almost surely, 2^225001877760 is an apocalyptic number.

225001877760 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 225001877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454353973920).

225001877760 is an abundant number, since it is smaller than the sum of its proper divisors (683706070080).

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

225001877760 is a wasteful number, since it uses less digits than its factorization.

225001877760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6876 (or 6853 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 225001877760 in words is "two hundred twenty-five billion, one million, eight hundred seventy-seven thousand, seven hundred sixty".