16201164556800 has 360 divisors, whose sum is σ = 58303477758240. Its totient is φ = 4296169267200.

The previous prime is 16201164556799. The next prime is 16201164556813. The reversal of 16201164556800 is 865546110261.

16201164556800 is a `hidden beast` number, since 1 + 6 + 2 + 0 + 1 + 16 + 4 + 556 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20227965 + ... + 21013635.

It is an arithmetic number, because the mean of its divisors is an integer number (161954104884).

Almost surely, 2^{16201164556800} is an apocalyptic number.

16201164556800 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 16201164556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29151738879120).

16201164556800 is an abundant number, since it is smaller than the sum of its proper divisors (42102313201440).

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

16201164556800 is a wasteful number, since it uses less digits than its factorization.

16201164556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785884 (or 785860 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 16201164556800 in words is "sixteen trillion, two hundred one billion, one hundred sixty-four million, five hundred fifty-six thousand, eight hundred".