15968540448 has 384 divisors, whose sum is σ = 56017059840. Its totient is φ = 4329262080.

The previous prime is 15968540447. The next prime is 15968540449. The reversal of 15968540448 is 84404586951.

15968540448 is a `hidden beast` number, since 1 + 5 + 96 + 8 + 540 + 4 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (15968540447) and next prime (15968540449).

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

It is a junction number, because it is equal to n+sod(n) for n = 15968540394 and 15968540403.

It is not an unprimeable number, because it can be changed into a prime (15968540447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9936061 + ... + 9937667.

It is an arithmetic number, because the mean of its divisors is an integer number (145877760).

Almost surely, 2^15968540448 is an apocalyptic number.

15968540448 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 15968540448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28008529920).

15968540448 is an abundant number, since it is smaller than the sum of its proper divisors (40048519392).

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

15968540448 is a wasteful number, since it uses less digits than its factorization.

15968540448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 15968540448 in words is "fifteen billion, nine hundred sixty-eight million, five hundred forty thousand, four hundred forty-eight".