12727615248 has 120 divisors (see below), whose sum is σ = 37358912448. Its totient is φ = 4037273856.

The previous prime is 12727615211. The next prime is 12727615283. The reversal of 12727615248 is 84251672721.

12727615248 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 7 + 615 + 24 + 8 = 666.

It is a super-2 number, since 2×12727615248² (a number of 21 digits) contains 22 as substring.

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, 642711 + ... + 662217.

Almost surely, 2^12727615248 is an apocalyptic number.

12727615248 is a gapful number since it is divisible by the number (18) 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 12727615248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18679456224).

12727615248 is an abundant number, since it is smaller than the sum of its proper divisors (24631297200).

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

12727615248 is a wasteful number, since it uses less digits than its factorization.

12727615248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19741 (or 19732 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The spelling of 12727615248 in words is "twelve billion, seven hundred twenty-seven million, six hundred fifteen thousand, two hundred forty-eight".