270431284992 has 144 divisors (see below), whose sum is σ = 785674028160. Its totient is φ = 81896550400.

The previous prime is 270431284987. The next prime is 270431285027. The reversal of 270431284992 is 299482134072.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14428267 + ... + 14446997.

It is an arithmetic number, because the mean of its divisors is an integer number (5456069640).

Almost surely, 2^270431284992 is an apocalyptic number.

270431284992 is a gapful number since it is divisible by the number (22) 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 270431284992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392837014080).

270431284992 is an abundant number, since it is smaller than the sum of its proper divisors (515242743168).

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

270431284992 is a wasteful number, since it uses less digits than its factorization.

270431284992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20470 (or 20456 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 270431284992 in words is "two hundred seventy billion, four hundred thirty-one million, two hundred eighty-four thousand, nine hundred ninety-two".