12716258688 has 320 divisors, whose sum is σ = 43791390720. Its totient is φ = 3587742720.

The previous prime is 12716258663. The next prime is 12716258693. The reversal of 12716258688 is 88685261721.

12716258688 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 625 + 8 + 6 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6022753 + ... + 6024863.

It is an arithmetic number, because the mean of its divisors is an integer number (136848096).

Almost surely, 2^12716258688 is an apocalyptic number.

12716258688 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 12716258688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21895695360).

12716258688 is an abundant number, since it is smaller than the sum of its proper divisors (31075132032).

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

12716258688 is an equidigital number, since it uses as much as digits as its factorization.

12716258688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2206 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 12716258688 in words is "twelve billion, seven hundred sixteen million, two hundred fifty-eight thousand, six hundred eighty-eight".