27712241280 has 192 divisors, whose sum is σ = 101323240200. Its totient is φ = 6955204608.

The previous prime is 27712241201. The next prime is 27712241299. The reversal of 27712241280 is 8214221772.

It can be written as a sum of positive squares in 4 ways, for example, as 27654359616 + 57881664 = 166296^2 + 7608^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43585 + ... + 239424.

Almost surely, 2^27712241280 is an apocalyptic number.

27712241280 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 27712241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50661620100).

27712241280 is an abundant number, since it is smaller than the sum of its proper divisors (73610998920).

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

27712241280 is a wasteful number, since it uses less digits than its factorization.

27712241280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283051 (or 283036 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 27712241280 in words is "twenty-seven billion, seven hundred twelve million, two hundred forty-one thousand, two hundred eighty".