79194203225600 has 480 divisors, whose sum is σ = 207937655513280. Its totient is φ = 29830561136640.

The previous prime is 79194203225593. The next prime is 79194203225609. The reversal of 79194203225600 is 652230249197.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79194203225609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5511455216 + ... + 5511469584.

It is an arithmetic number, because the mean of its divisors is an integer number (433203448986).

Almost surely, 2^{79194203225600} 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 79194203225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103968827756640).

79194203225600 is an abundant number, since it is smaller than the sum of its proper divisors (128743452287680).

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

79194203225600 is a wasteful number, since it uses less digits than its factorization.

79194203225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14710 (or 14689 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 79194203225600 in words is "seventy-nine trillion, one hundred ninety-four billion, two hundred three million, two hundred twenty-five thousand, six hundred".