198126570240 has 504 divisors, whose sum is σ = 718215896160. Its totient is φ = 52338327552.

The previous prime is 198126570203. The next prime is 198126570259. The reversal of 198126570240 is 42075621891.

198126570240 is a `hidden beast` number, since 1 + 9 + 81 + 265 + 70 + 240 = 666.

It is a super-3 number, since 3×198126570240³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 105441621 + ... + 105443499.

It is an arithmetic number, because the mean of its divisors is an integer number (1425031540).

Almost surely, 2^198126570240 is an apocalyptic number.

198126570240 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 198126570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359107948080).

198126570240 is an abundant number, since it is smaller than the sum of its proper divisors (520089325920).

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

198126570240 is an equidigital number, since it uses as much as digits as its factorization.

198126570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 198126570240 in words is "one hundred ninety-eight billion, one hundred twenty-six million, five hundred seventy thousand, two hundred forty".