198087725515680 has 576 divisors, whose sum is σ = 907601948967168. Its totient is φ = 37994848174080.

The previous prime is 198087725515679. The next prime is 198087725515777. The reversal of 198087725515680 is 86515527780891.

198087725515680 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 8 + 7 + 7 + 2 + 5 + 51 + 568 + 0 = 666.

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 = 198087725515599 and 198087725515608.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67270309 + ... + 70153188.

It is an arithmetic number, because the mean of its divisors is an integer number (1575697828068).

Almost surely, 2^{198087725515680} is an apocalyptic number.

198087725515680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198087725515680 is an abundant number, since it is smaller than the sum of its proper divisors (709514223451488).

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

198087725515680 is a wasteful number, since it uses less digits than its factorization.

198087725515680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137423549 (or 137423538 counting only the distinct ones).

The product of its (nonzero) digits is 338688000, while the sum is 72.

The spelling of 198087725515680 in words is "one hundred ninety-eight trillion, eighty-seven billion, seven hundred twenty-five million, five hundred fifteen thousand, six hundred eighty".