16432875164160 has 1280 divisors, whose sum is σ = 71930116177920. Its totient is φ = 3462865551360.

The previous prime is 16432875164093. The next prime is 16432875164179. The reversal of 16432875164160 is 6146157823461.

16432875164160 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 2 + 87 + 516 + 41 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 16432875164097 and 16432875164106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9881463489 + ... + 9881465151.

It is an arithmetic number, because the mean of its divisors is an integer number (56195403264).

Almost surely, 2^{16432875164160} is an apocalyptic number.

16432875164160 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 16432875164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35965058088960).

16432875164160 is an abundant number, since it is smaller than the sum of its proper divisors (55497241013760).

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

16432875164160 is a wasteful number, since it uses less digits than its factorization.

16432875164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3286 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 16432875164160 in words is "sixteen trillion, four hundred thirty-two billion, eight hundred seventy-five million, one hundred sixty-four thousand, one hundred sixty".