80198450245200 has 480 divisors, whose sum is σ = 294473402496000. Its totient is φ = 18276772700160.

The previous prime is 80198450245079. The next prime is 80198450245217. The reversal of 80198450245200 is 254205489108.

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 80198450245200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5875767976 + ... + 5875781624.

It is an arithmetic number, because the mean of its divisors is an integer number (613486255200).

Almost surely, 2^{80198450245200} is an apocalyptic number.

80198450245200 is a gapful number since it is divisible by the number (80) 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 80198450245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147236701248000).

80198450245200 is an abundant number, since it is smaller than the sum of its proper divisors (214274952250800).

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

80198450245200 is a wasteful number, since it uses less digits than its factorization.

80198450245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15699 (or 15688 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 80198450245200 in words is "eighty trillion, one hundred ninety-eight billion, four hundred fifty million, two hundred forty-five thousand, two hundred".