16105322088576 has 672 divisors, whose sum is σ = 56332145537280. Its totient is φ = 4570850995200.

The previous prime is 16105322088551. The next prime is 16105322088619. The reversal of 16105322088576 is 67588022350161.

16105322088576 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 532 + 20 + 8 + 85 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 690403825 + ... + 690427151.

Almost surely, 2^{16105322088576} is an apocalyptic number.

16105322088576 is a gapful number since it is divisible by the number (16) 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 16105322088576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28166072768640).

16105322088576 is an abundant number, since it is smaller than the sum of its proper divisors (40226823448704).

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

16105322088576 is an equidigital number, since it uses as much as digits as its factorization.

16105322088576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23524 (or 23490 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 16105322088576 in words is "sixteen trillion, one hundred five billion, three hundred twenty-two million, eighty-eight thousand, five hundred seventy-six".