15968481682500 has 960 divisors, whose sum is σ = 53773761888000. Its totient is φ = 4094779392000.

The previous prime is 15968481682499. The next prime is 15968481682537. The reversal of 15968481682500 is 528618486951.

15968481682500 is a `hidden beast` number, since 1 + 5 + 9 + 6 + 8 + 48 + 1 + 6 + 82 + 500 = 666.

15968481682500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 39042742296 + ... + 39042742704.

It is an arithmetic number, because the mean of its divisors is an integer number (56014335300).

Almost surely, 2^{15968481682500} is an apocalyptic number.

15968481682500 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 15968481682500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26886880944000).

15968481682500 is an abundant number, since it is smaller than the sum of its proper divisors (37805280205500).

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

15968481682500 is a wasteful number, since it uses less digits than its factorization.

15968481682500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 15968481682500 in words is "fifteen trillion, nine hundred sixty-eight billion, four hundred eighty-one million, six hundred eighty-two thousand, five hundred".