270149904000 has 1792 divisors, whose sum is σ = 1126989676800. Its totient is φ = 64049356800.

The previous prime is 270149903987. The next prime is 270149904007. The reversal of 270149904000 is 409941072.

270149904000 is a `hidden beast` number, since 27 + 0 + 149 + 90 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270149904007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5097167974 + ... + 5097168026.

Almost surely, 2^270149904000 is an apocalyptic number.

270149904000 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 270149904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563494838400).

270149904000 is an abundant number, since it is smaller than the sum of its proper divisors (856839772800).

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

270149904000 is an equidigital number, since it uses as much as digits as its factorization.

270149904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 270149904000 in words is "two hundred seventy billion, one hundred forty-nine million, nine hundred four thousand".