198542265696000 has 2304 divisors, whose sum is σ = 785574778060800. Its totient is φ = 49272717312000.

The previous prime is 198542265695993. The next prime is 198542265696053. The reversal of 198542265696000 is 696562245891.

It is a happy number.

198542265696000 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 4 + 2 + 2 + 6 + 569 + 60 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 344094047712 + ... + 344094048288.

It is an arithmetic number, because the mean of its divisors is an integer number (340961275200).

Almost surely, 2^{198542265696000} is an apocalyptic number.

198542265696000 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 198542265696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392787389030400).

198542265696000 is an abundant number, since it is smaller than the sum of its proper divisors (587032512364800).

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

198542265696000 is a wasteful number, since it uses less digits than its factorization.

198542265696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 198542265696000 in words is "one hundred ninety-eight trillion, five hundred forty-two billion, two hundred sixty-five million, six hundred ninety-six thousand".