216597628800 has 1920 divisors, whose sum is σ = 986807078400. Its totient is φ = 45685555200.

The previous prime is 216597628783. The next prime is 216597628843. The reversal of 216597628800 is 8826795612.

216597628800 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 9 + 7 + 628 + 8 + 0 + 0 = 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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2102889549 + ... + 2102889651.

It is an arithmetic number, because the mean of its divisors is an integer number (513962020).

Almost surely, 2^216597628800 is an apocalyptic number.

216597628800 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 216597628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493403539200).

216597628800 is an abundant number, since it is smaller than the sum of its proper divisors (770209449600).

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

216597628800 is a wasteful number, since it uses less digits than its factorization.

216597628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 216597628800 in words is "two hundred sixteen billion, five hundred ninety-seven million, six hundred twenty-eight thousand, eight hundred".