115688198119680 has 108 divisors (see below), whose sum is σ = 400269114679980. Its totient is φ = 30850186162176.

The previous prime is 115688198119643. The next prime is 115688198119687. The reversal of 115688198119680 is 86911891886511.

115688198119680 is a `hidden beast` number, since 115 + 68 + 8 + 198 + 1 + 196 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30015846883584 + 85672351236096 = 5478672^2 + 9255936^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 115688198119599 and 115688198119608.

It is not an unprimeable number, because it can be changed into a prime (115688198119687) 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 11 ways as a sum of consecutive naturals, for example, 5021177635 + ... + 5021200674.

Almost surely, 2^{115688198119680} is an apocalyptic number.

115688198119680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115688198119680 is an abundant number, since it is smaller than the sum of its proper divisors (284580916560300).

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

115688198119680 is a wasteful number, since it uses less digits than its factorization.

115688198119680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10042378336 (or 10042378319 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 72.

The spelling of 115688198119680 in words is "one hundred fifteen trillion, six hundred eighty-eight billion, one hundred ninety-eight million, one hundred nineteen thousand, six hundred eighty".