270066195164160 has 264 divisors, whose sum is σ = 935826282655056. Its totient is φ = 72013500088320.

The previous prime is 270066195164089. The next prime is 270066195164191. The reversal of 270066195164160 is 61461591660072.

270066195164160 is a `hidden beast` number, since 2 + 7 + 0 + 0 + 6 + 61 + 9 + 516 + 4 + 1 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 270066195164097 and 270066195164106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 844993507 + ... + 845313053.

Almost surely, 2^{270066195164160} is an apocalyptic number.

270066195164160 is a gapful number since it is divisible by the number (20) 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 270066195164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467913141327528).

270066195164160 is an abundant number, since it is smaller than the sum of its proper divisors (665760087490896).

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

270066195164160 is a wasteful number, since it uses less digits than its factorization.

270066195164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337919 (or 337898 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 270066195164160 in words is "two hundred seventy trillion, sixty-six billion, one hundred ninety-five million, one hundred sixty-four thousand, one hundred sixty".