270949748000 has 48 divisors (see below), whose sum is σ = 665723540664. Its totient is φ = 108379897600.

The previous prime is 270949747909. The next prime is 270949748009. The reversal of 270949748000 is 847949072.

270949748000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 151629244816 + 119320503184 = 389396^2 + 345428^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 270949748000.

It is not an unprimeable number, because it can be changed into a prime (270949748009) 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 7 ways as a sum of consecutive naturals, for example, 33864719 + ... + 33872718.

Almost surely, 2^270949748000 is an apocalyptic number.

270949748000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

270949748000 is an abundant number, since it is smaller than the sum of its proper divisors (394773792664).

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

270949748000 is an equidigital number, since it uses as much as digits as its factorization.

270949748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67737462 (or 67737444 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The spelling of 270949748000 in words is "two hundred seventy billion, nine hundred forty-nine million, seven hundred forty-eight thousand".