15968313778320 has 480 divisors, whose sum is σ = 57100987207680. Its totient is φ = 3987766702080.

The previous prime is 15968313778237. The next prime is 15968313778321. The reversal of 15968313778320 is 2387731386951.

15968313778320 is a `hidden beast` number, since 1 + 5 + 96 + 83 + 1 + 377 + 83 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (15968313778321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 481232130 + ... + 481265310.

It is an arithmetic number, because the mean of its divisors is an integer number (118960390016).

Almost surely, 2^{15968313778320} is an apocalyptic number.

15968313778320 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 15968313778320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28550493603840).

15968313778320 is an abundant number, since it is smaller than the sum of its proper divisors (41132673429360).

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

15968313778320 is a wasteful number, since it uses less digits than its factorization.

15968313778320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33623 (or 33614 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 15968313778320 in words is "fifteen trillion, nine hundred sixty-eight billion, three hundred thirteen million, seven hundred seventy-eight thousand, three hundred twenty".