15919860003960 has 256 divisors, whose sum is σ = 52775960832000. Its totient is φ = 3809417564160.

The previous prime is 15919860003947. The next prime is 15919860003961. The reversal of 15919860003960 is 6930006891951.

It is a super-3 number, since 3×15919860003960³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 15919860003960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15919860003961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 399685326 + ... + 399725154.

It is an arithmetic number, because the mean of its divisors is an integer number (206156097000).

Almost surely, 2^{15919860003960} is an apocalyptic number.

15919860003960 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 15919860003960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26387980416000).

15919860003960 is an abundant number, since it is smaller than the sum of its proper divisors (36856100828040).

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

15919860003960 is a wasteful number, since it uses less digits than its factorization.

15919860003960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43766 (or 43762 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 57.

The spelling of 15919860003960 in words is "fifteen trillion, nine hundred nineteen billion, eight hundred sixty million, three thousand, nine hundred sixty".