27131345280 has 640 divisors, whose sum is σ = 105497441280. Its totient is φ = 6604996608.

The previous prime is 27131345201. The next prime is 27131345287. The reversal of 27131345280 is 8254313172.

27131345280 is a `hidden beast` number, since 2 + 7 + 1 + 31 + 345 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×27131345280² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27131345287) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 85587682 + ... + 85587998.

It is an arithmetic number, because the mean of its divisors is an integer number (164839752).

Almost surely, 2^27131345280 is an apocalyptic number.

27131345280 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 27131345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52748720640).

27131345280 is an abundant number, since it is smaller than the sum of its proper divisors (78366096000).

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

27131345280 is a wasteful number, since it uses less digits than its factorization.

27131345280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 27131345280 in words is "twenty-seven billion, one hundred thirty-one million, three hundred forty-five thousand, two hundred eighty".