198778140600 has 768 divisors, whose sum is σ = 744927321600. Its totient is φ = 43316674560.

The previous prime is 198778140599. The next prime is 198778140607. The reversal of 198778140600 is 6041877891.

198778140600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198778140607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 647485647 + ... + 647485953.

It is an arithmetic number, because the mean of its divisors is an integer number (969957450).

Almost surely, 2^198778140600 is an apocalyptic number.

198778140600 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 198778140600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372463660800).

198778140600 is an abundant number, since it is smaller than the sum of its proper divisors (546149181000).

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

198778140600 is a wasteful number, since it uses less digits than its factorization.

198778140600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 51.

The spelling of 198778140600 in words is "one hundred ninety-eight billion, seven hundred seventy-eight million, one hundred forty thousand, six hundred".