270375142302720 has 5632 divisors, whose sum is σ = 1264125160488960. Its totient is φ = 53294797946880.

The previous prime is 270375142302619. The next prime is 270375142302739. The reversal of 270375142302720 is 27203241573072.

270375142302720 is a `hidden beast` number, since 2 + 7 + 0 + 37 + 514 + 2 + 30 + 2 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1619012828077 + ... + 1619012828243.

It is an arithmetic number, because the mean of its divisors is an integer number (224454041280).

Almost surely, 2^{270375142302720} is an apocalyptic number.

270375142302720 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 270375142302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632062580244480).

270375142302720 is an abundant number, since it is smaller than the sum of its proper divisors (993750018186240).

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

270375142302720 is a wasteful number, since it uses less digits than its factorization.

270375142302720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

Adding to 270375142302720 its reverse (27203241573072), we get a palindrome (297578383875792).

The spelling of 270375142302720 in words is "two hundred seventy trillion, three hundred seventy-five billion, one hundred forty-two million, three hundred two thousand, seven hundred twenty".