270950400000 has 1224 divisors, whose sum is σ = 1167276383280. Its totient is φ = 61931520000.

The previous prime is 270950399947. The next prime is 270950400023. The reversal of 270950400000 is 4059072.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38707199997 + ... + 38707200003.

Almost surely, 2^270950400000 is an apocalyptic number.

270950400000 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 270950400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583638191640).

270950400000 is an abundant number, since it is smaller than the sum of its proper divisors (896325983280).

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

270950400000 is an frugal number, since it uses more digits than its factorization.

270950400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 270950400000 its reverse (4059072), we get a palindrome (270954459072).

The spelling of 270950400000 in words is "two hundred seventy billion, nine hundred fifty million, four hundred thousand".