216917976800 has 288 divisors, whose sum is σ = 614305181952. Its totient is φ = 73258721280.

The previous prime is 216917976791. The next prime is 216917976817. The reversal of 216917976800 is 8679719612.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275626007 + ... + 275626793.

It is an arithmetic number, because the mean of its divisors is an integer number (2133004104).

Almost surely, 2^216917976800 is an apocalyptic number.

216917976800 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 216917976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307152590976).

216917976800 is an abundant number, since it is smaller than the sum of its proper divisors (397387205152).

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

216917976800 is a wasteful number, since it uses less digits than its factorization.

216917976800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 56.

The spelling of 216917976800 in words is "two hundred sixteen billion, nine hundred seventeen million, nine hundred seventy-six thousand, eight hundred".