2185625245600 has 216 divisors, whose sum is σ = 5482519244748. Its totient is φ = 850797158400.

The previous prime is 2185625245567. The next prime is 2185625245627. The reversal of 2185625245600 is 65425265812.

It can be written as a sum of positive squares in 6 ways, for example, as 18169961616 + 2167455283984 = 134796^2 + 1472228^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 319859784 + ... + 319866616.

Almost surely, 2^{2185625245600} is an apocalyptic number.

2185625245600 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 2185625245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741259622374).

2185625245600 is an abundant number, since it is smaller than the sum of its proper divisors (3296893999148).

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

2185625245600 is a wasteful number, since it uses less digits than its factorization.

2185625245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7128 (or 7068 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 46.

The spelling of 2185625245600 in words is "two trillion, one hundred eighty-five billion, six hundred twenty-five million, two hundred forty-five thousand, six hundred".