7998595200000 has 1782 divisors, whose sum is σ = 31686995187666. Its totient is φ = 1942732800000.

The previous prime is 7998595199993. The next prime is 7998595200061. The reversal of 7998595200000 is 25958997.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 7141978312704 + 856616887296 = 2672448^2 + 925536^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7998595200000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 258019199985 + ... + 258019200015.

Almost surely, 2^{7998595200000} 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 7998595200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15843497593833).

7998595200000 is an abundant number, since it is smaller than the sum of its proper divisors (23688399987666).

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

7998595200000 is an equidigital number, since it uses as much as digits as its factorization.

7998595200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 7998595200000 in words is "seven trillion, nine hundred ninety-eight billion, five hundred ninety-five million, two hundred thousand".