1198133185680 has 480 divisors, whose sum is σ = 4156158988800. Its totient is φ = 309163806720.

The previous prime is 1198133185643. The next prime is 1198133185787. The reversal of 1198133185680 is 865813318911.

It is a happy number.

1198133185680 is a `hidden beast` number, since 1 + 198 + 13 + 318 + 56 + 80 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1477352475 + ... + 1477353285.

It is an arithmetic number, because the mean of its divisors is an integer number (8658664560).

Almost surely, 2^{1198133185680} is an apocalyptic number.

1198133185680 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 1198133185680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078079494400).

1198133185680 is an abundant number, since it is smaller than the sum of its proper divisors (2958025803120).

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

1198133185680 is a wasteful number, since it uses less digits than its factorization.

1198133185680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 1198133185680 in words is "one trillion, one hundred ninety-eight billion, one hundred thirty-three million, one hundred eighty-five thousand, six hundred eighty".