270144019200 has 810 divisors, whose sum is σ = 1013333879460. Its totient is φ = 63376896000.

The previous prime is 270144019157. The next prime is 270144019207. The reversal of 270144019200 is 2910441072.

It is a super-2 number, since 2×270144019200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (270144019207) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 8714323185 + ... + 8714323215.

Almost surely, 2^270144019200 is an apocalyptic number.

270144019200 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 270144019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506666939730).

270144019200 is an abundant number, since it is smaller than the sum of its proper divisors (743189860260).

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

270144019200 is an frugal number, since it uses more digits than its factorization.

270144019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 270144019200 in words is "two hundred seventy billion, one hundred forty-four million, nineteen thousand, two hundred".