198735651660 has 384 divisors, whose sum is σ = 724002048000. Its totient is φ = 39554334720.

The previous prime is 198735651659. The next prime is 198735651671. The reversal of 198735651660 is 66156537891.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 198735651660.

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 127 ways as a sum of consecutive naturals, for example, 24997366 + ... + 25005314.

It is an arithmetic number, because the mean of its divisors is an integer number (1885422000).

Almost surely, 2^198735651660 is an apocalyptic number.

198735651660 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 198735651660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362001024000).

198735651660 is an abundant number, since it is smaller than the sum of its proper divisors (525266396340).

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

198735651660 is a wasteful number, since it uses less digits than its factorization.

198735651660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8241 (or 8239 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 198735651660 in words is "one hundred ninety-eight billion, seven hundred thirty-five million, six hundred fifty-one thousand, six hundred sixty".