16395330631680 has 5760 divisors, whose sum is σ = 83566619136000. Its totient is φ = 3043314892800.

The previous prime is 16395330631679. The next prime is 16395330631703. The reversal of 16395330631680 is 8613603359361.

16395330631680 is a `hidden beast` number, since 1 + 6 + 3 + 95 + 330 + 63 + 168 + 0 = 666.

16395330631680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 528881633265 + ... + 528881633295.

It is an arithmetic number, because the mean of its divisors is an integer number (14508093600).

Almost surely, 2^{16395330631680} is an apocalyptic number.

16395330631680 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 16395330631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41783309568000).

16395330631680 is an abundant number, since it is smaller than the sum of its proper divisors (67171288504320).

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

16395330631680 is a wasteful number, since it uses less digits than its factorization.

16395330631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 16395330631680 in words is "sixteen trillion, three hundred ninety-five billion, three hundred thirty million, six hundred thirty-one thousand, six hundred eighty".