270400735000 has 160 divisors (see below), whose sum is σ = 698001630480. Its totient is φ = 97352000000.

The previous prime is 270400734973. The next prime is 270400735019. The reversal of 270400735000 is 537004072.

270400735000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 270400735000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5530662 + ... + 5579338.

Almost surely, 2^270400735000 is an apocalyptic number.

270400735000 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 270400735000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349000815240).

270400735000 is an abundant number, since it is smaller than the sum of its proper divisors (427600895480).

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

270400735000 is a wasteful number, since it uses less digits than its factorization.

270400735000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48815 (or 48796 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

Adding to 270400735000 its reverse (537004072), we get a palindrome (270937739072).

The spelling of 270400735000 in words is "two hundred seventy billion, four hundred million, seven hundred thirty-five thousand".