198516508542720 has 720 divisors, whose sum is σ = 717749463372480. Its totient is φ = 52386163458048.

The previous prime is 198516508542673. The next prime is 198516508542757. The reversal of 198516508542720 is 27245805615891.

198516508542720 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 1 + 6 + 508 + 54 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7580135386 + ... + 7580161574.

It is an arithmetic number, because the mean of its divisors is an integer number (996874254684).

Almost surely, 2^{198516508542720} is an apocalyptic number.

198516508542720 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 198516508542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358874731686240).

198516508542720 is an abundant number, since it is smaller than the sum of its proper divisors (519232954829760).

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

198516508542720 is a wasteful number, since it uses less digits than its factorization.

198516508542720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26982 (or 26959 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 198516508542720 in words is "one hundred ninety-eight trillion, five hundred sixteen billion, five hundred eight million, five hundred forty-two thousand, seven hundred twenty".