216775202086800 has 600 divisors, whose sum is σ = 889902280969856. Its totient is φ = 49505584250880.

The previous prime is 216775202086693. The next prime is 216775202086837. The reversal of 216775202086800 is 8680202577612.

216775202086800 is a `hidden beast` number, since 2 + 16 + 7 + 7 + 520 + 20 + 8 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 261085917 + ... + 261914883.

Almost surely, 2^{216775202086800} is an apocalyptic number.

216775202086800 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 216775202086800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444951140484928).

216775202086800 is an abundant number, since it is smaller than the sum of its proper divisors (673127078883056).

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

216775202086800 is a wasteful number, since it uses less digits than its factorization.

216775202086800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830157 (or 830137 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 216775202086800 in words is "two hundred sixteen trillion, seven hundred seventy-five billion, two hundred two million, eighty-six thousand, eight hundred".