27146282240 has 540 divisors, whose sum is σ = 84521777172. Its totient is φ = 8345272320.

The previous prime is 27146282237. The next prime is 27146282287. The reversal of 27146282240 is 4228264172.

It can be written as a sum of positive squares in 2 ways, for example, as 12569100544 + 14577181696 = 112112^2 + 120736^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27146282194 and 27146282203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 371866844 + ... + 371866916.

Almost surely, 2^27146282240 is an apocalyptic number.

27146282240 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 27146282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42260888586).

27146282240 is an abundant number, since it is smaller than the sum of its proper divisors (57375494932).

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

27146282240 is an frugal number, since it uses more digits than its factorization.

27146282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The spelling of 27146282240 in words is "twenty-seven billion, one hundred forty-six million, two hundred eighty-two thousand, two hundred forty".