198420759504 has 240 divisors, whose sum is σ = 615882009600. Its totient is φ = 59132620800.

The previous prime is 198420759487. The next prime is 198420759527. The reversal of 198420759504 is 405957024891.

It is a happy number.

198420759504 is a `hidden beast` number, since 1 + 9 + 8 + 42 + 0 + 7 + 595 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26922732 + ... + 26930100.

It is an arithmetic number, because the mean of its divisors is an integer number (2566175040).

Almost surely, 2^198420759504 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 198420759504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307941004800).

198420759504 is an abundant number, since it is smaller than the sum of its proper divisors (417461250096).

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

198420759504 is a wasteful number, since it uses less digits than its factorization.

198420759504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7674 (or 7665 counting only the distinct ones).

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

The spelling of 198420759504 in words is "one hundred ninety-eight billion, four hundred twenty million, seven hundred fifty-nine thousand, five hundred four".