7128225825600 has 672 divisors, whose sum is σ = 25796348785152. Its totient is φ = 1708928000000.

The previous prime is 7128225825599. The next prime is 7128225825607. The reversal of 7128225825600 is 65285228217.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7128225825600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7128225825607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2192623975 + ... + 2192627225.

Almost surely, 2^{7128225825600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7128225825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12898174392576).

7128225825600 is an abundant number, since it is smaller than the sum of its proper divisors (18668122959552).

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

7128225825600 is a wasteful number, since it uses less digits than its factorization.

7128225825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3735 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 7128225825600 in words is "seven trillion, one hundred twenty-eight billion, two hundred twenty-five million, eight hundred twenty-five thousand, six hundred".