198180638981280 has 72 divisors (see below), whose sum is σ = 676291430528532. Its totient is φ = 52848170394624.

The previous prime is 198180638981279. The next prime is 198180638981329. The reversal of 198180638981280 is 82189836081891.

198180638981280 is a `hidden beast` number, since 1 + 9 + 81 + 80 + 6 + 389 + 8 + 12 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 180689407189776 + 17491231791504 = 13442076^2 + 4182252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 198180638981199 and 198180638981208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68812720429 + ... + 68812723308.

Almost surely, 2^{198180638981280} is an apocalyptic number.

198180638981280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198180638981280 is an abundant number, since it is smaller than the sum of its proper divisors (478110791547252).

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

198180638981280 is a wasteful number, since it uses less digits than its factorization.

198180638981280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137625443758 (or 137625443747 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 72.

The spelling of 198180638981280 in words is "one hundred ninety-eight trillion, one hundred eighty billion, six hundred thirty-eight million, nine hundred eighty-one thousand, two hundred eighty".