216273715200 has 408 divisors, whose sum is σ = 794762115600. Its totient is φ = 57661194240.

The previous prime is 216273715187. The next prime is 216273715219. The reversal of 216273715200 is 2517372612.

216273715200 is a `hidden beast` number, since 2 + 1 + 62 + 7 + 3 + 71 + 520 + 0 = 666.

It is a super-2 number, since 2×216273715200² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44234356 + ... + 44239244.

Almost surely, 2^216273715200 is an apocalyptic number.

216273715200 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 216273715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397381057800).

216273715200 is an abundant number, since it is smaller than the sum of its proper divisors (578488400400).

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

216273715200 is an frugal number, since it uses more digits than its factorization.

216273715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940 (or 4899 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 216273715200 in words is "two hundred sixteen billion, two hundred seventy-three million, seven hundred fifteen thousand, two hundred".