2825225692800 has 384 divisors, whose sum is σ = 10852009296000. Its totient is φ = 645765120000.

The previous prime is 2825225692789. The next prime is 2825225692811. The reversal of 2825225692800 is 82965225282.

It is an interprime number because it is at equal distance from previous prime (2825225692789) and next prime (2825225692811).

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 2863800 + ... + 3721800.

It is an arithmetic number, because the mean of its divisors is an integer number (28260440875).

Almost surely, 2^{2825225692800} is an apocalyptic number.

2825225692800 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 2825225692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426004648000).

2825225692800 is an abundant number, since it is smaller than the sum of its proper divisors (8026783603200).

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

2825225692800 is an equidigital number, since it uses as much as digits as its factorization.

2825225692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858049 (or 858018 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 2825225692800 in words is "two trillion, eight hundred twenty-five billion, two hundred twenty-five million, six hundred ninety-two thousand, eight hundred".