12827274240 has 528 divisors, whose sum is σ = 46832739840. Its totient is φ = 2971238400.

The previous prime is 12827274233. The next prime is 12827274247. The reversal of 12827274240 is 4247272821.

It is an interprime number because it is at equal distance from previous prime (12827274233) and next prime (12827274247).

It is a tau number, because it is divible by the number of its divisors (528).

It is not an unprimeable number, because it can be changed into a prime (12827274247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162370521 + ... + 162370599.

Almost surely, 2^12827274240 is an apocalyptic number.

12827274240 is a gapful number since it is divisible by the number (10) 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 12827274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23416369920).

12827274240 is an abundant number, since it is smaller than the sum of its proper divisors (34005465600).

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

12827274240 is a wasteful number, since it uses less digits than its factorization.

12827274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 39.

The spelling of 12827274240 in words is "twelve billion, eight hundred twenty-seven million, two hundred seventy-four thousand, two hundred forty".