16254221875200 has 576 divisors, whose sum is σ = 60039094752000. Its totient is φ = 4310178693120.

The previous prime is 16254221875189. The next prime is 16254221875247. The reversal of 16254221875200 is 257812245261.

16254221875200 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 42 + 2 + 1 + 87 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247416757 + ... + 247482443.

It is an arithmetic number, because the mean of its divisors is an integer number (104234539500).

Almost surely, 2^{16254221875200} is an apocalyptic number.

16254221875200 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 16254221875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30019547376000).

16254221875200 is an abundant number, since it is smaller than the sum of its proper divisors (43784872876800).

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

16254221875200 is a wasteful number, since it uses less digits than its factorization.

16254221875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65907 (or 65876 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 16254221875200 in words is "sixteen trillion, two hundred fifty-four billion, two hundred twenty-one million, eight hundred seventy-five thousand, two hundred".