270050760000000 has 3200 divisors, whose sum is σ = 1179803698444800. Its totient is φ = 61725888000000.

The previous prime is 270050759999971. The next prime is 270050760000001. The reversal of 270050760000000 is 67050072.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

270050760000000 is a `hidden beast` number, since 2 + 7 + 0 + 0 + 50 + 7 + 600 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270050760000001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 38578679999997 + ... + 38578680000003.

It is an arithmetic number, because the mean of its divisors is an integer number (368688655764).

Almost surely, 2^{270050760000000} is an apocalyptic number.

270050760000000 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 270050760000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589901849222400).

270050760000000 is an abundant number, since it is smaller than the sum of its proper divisors (909752938444800).

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

270050760000000 is an frugal number, since it uses more digits than its factorization.

270050760000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The spelling of 270050760000000 in words is "two hundred seventy trillion, fifty billion, seven hundred sixty million", and thus it is an aban number.