198025367500800 has 2304 divisors, whose sum is σ = 879783690240000. Its totient is φ = 42648610406400.

The previous prime is 198025367500799. The next prime is 198025367500843. The reversal of 198025367500800 is 8005763520891.

198025367500800 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 2 + 53 + 6 + 7 + 500 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35117104381 + ... + 35117110019.

It is an arithmetic number, because the mean of its divisors is an integer number (381850560000).

Almost surely, 2^{198025367500800} is an apocalyptic number.

198025367500800 is a gapful number since it is divisible by the number (10) 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 198025367500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439891845120000).

198025367500800 is an abundant number, since it is smaller than the sum of its proper divisors (681758322739200).

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

198025367500800 is a wasteful number, since it uses less digits than its factorization.

198025367500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 198025367500800 in words is "one hundred ninety-eight trillion, twenty-five billion, three hundred sixty-seven million, five hundred thousand, eight hundred".