15968010240 has 1152 divisors, whose sum is σ = 73424889720. Its totient is φ = 3170893824.

The previous prime is 15968010217. The next prime is 15968010241. The reversal of 15968010240 is 4201086951.

It can be written as a sum of positive squares in 4 ways, for example, as 12145803264 + 3822206976 = 110208^2 + 61824^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15968010195 and 15968010204.

It is not an unprimeable number, because it can be changed into a prime (15968010241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 939294712 + ... + 939294728.

Almost surely, 2^15968010240 is an apocalyptic number.

15968010240 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 15968010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36712444860).

15968010240 is an abundant number, since it is smaller than the sum of its proper divisors (57456879480).

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

15968010240 is a wasteful number, since it uses less digits than its factorization.

15968010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 15968010240 in words is "fifteen billion, nine hundred sixty-eight million, ten thousand, two hundred forty".