12739817760 has 192 divisors, whose sum is σ = 42667285248. Its totient is φ = 3188117504.

The previous prime is 12739817749. The next prime is 12739817771. The reversal of 12739817760 is 6771893721.

It is an interprime number because it is at equal distance from previous prime (12739817749) and next prime (12739817771).

It is a super-2 number, since 2×12739817760² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574234 + ... + 596006.

It is an arithmetic number, because the mean of its divisors is an integer number (222225444).

Almost surely, 2^12739817760 is an apocalyptic number.

12739817760 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 12739817760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21333642624).

12739817760 is an abundant number, since it is smaller than the sum of its proper divisors (29927467488).

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

12739817760 is a wasteful number, since it uses less digits than its factorization.

12739817760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21867 (or 21859 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 51.

The spelling of 12739817760 in words is "twelve billion, seven hundred thirty-nine million, eight hundred seventeen thousand, seven hundred sixty".