216095905105920 has 1920 divisors, whose sum is σ = 978037681420800. Its totient is φ = 44466180194304.

The previous prime is 216095905105867. The next prime is 216095905105931. The reversal of 216095905105920 is 29501509590612.

216095905105920 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 9 + 59 + 0 + 510 + 59 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2270129686 + ... + 2270224874.

It is an arithmetic number, because the mean of its divisors is an integer number (509394625740).

Almost surely, 2^{216095905105920} is an apocalyptic number.

216095905105920 is a gapful number since it is divisible by the number (20) 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 216095905105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489018840710400).

216095905105920 is an abundant number, since it is smaller than the sum of its proper divisors (761941776314880).

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

216095905105920 is a wasteful number, since it uses less digits than its factorization.

216095905105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95275 (or 95246 counting only the distinct ones).

The product of its (nonzero) digits is 2187000, while the sum is 54.

The spelling of 216095905105920 in words is "two hundred sixteen trillion, ninety-five billion, nine hundred five million, one hundred five thousand, nine hundred twenty".