216453124800 has 1512 divisors, whose sum is σ = 905721905088. Its totient is φ = 50774169600.

The previous prime is 216453124799. The next prime is 216453124817. The reversal of 216453124800 is 8421354612.

It is a happy number.

216453124800 is a `hidden beast` number, since 2 + 1 + 6 + 453 + 124 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2022926347 + ... + 2022926453.

It is an arithmetic number, because the mean of its divisors is an integer number (599022424).

Almost surely, 2^216453124800 is an apocalyptic number.

216453124800 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 216453124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452860952544).

216453124800 is an abundant number, since it is smaller than the sum of its proper divisors (689268780288).

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

216453124800 is a wasteful number, since it uses less digits than its factorization.

216453124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 216453124800 in words is "two hundred sixteen billion, four hundred fifty-three million, one hundred twenty-four thousand, eight hundred".