2205725385600 has 1344 divisors, whose sum is σ = 9124014240000. Its totient is φ = 522024652800.

The previous prime is 2205725385599. The next prime is 2205725385623. The reversal of 2205725385600 is 65835275022.

2205725385600 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 7 + 2 + 5 + 38 + 5 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1103413401 + ... + 1103415399.

Almost surely, 2^{2205725385600} is an apocalyptic number.

2205725385600 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 2205725385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4562007120000).

2205725385600 is an abundant number, since it is smaller than the sum of its proper divisors (6918288854400).

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

2205725385600 is a wasteful number, since it uses less digits than its factorization.

2205725385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 2205725385600 in words is "two trillion, two hundred five billion, seven hundred twenty-five million, three hundred eighty-five thousand, six hundred".