39168000000000 has 1080 divisors, whose sum is σ = 149759413375572. Its totient is φ = 9830400000000.

The previous prime is 39167999999939. The next prime is 39168000000007. The reversal of 39168000000000 is 86193.

It can be written as a sum of positive squares in 10 ways, for example, as 30466160787456 + 8701839212544 = 5519616^2 + 2949888^2 .

It is not an unprimeable number, because it can be changed into a prime (39168000000007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2303999999992 + ... + 2304000000008.

Almost surely, 2^{39168000000000} is an apocalyptic number.

39168000000000 is a gapful number since it is divisible by the number (30) 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 39168000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74879706687786).

39168000000000 is an abundant number, since it is smaller than the sum of its proper divisors (110591413375572).

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

39168000000000 is an frugal number, since it uses more digits than its factorization.

39168000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 39168000000000 its reverse (86193), we get a palindrome (39168000086193).

The spelling of 39168000000000 in words is "thirty-nine trillion, one hundred sixty-eight billion", and thus it is an aban number.