216790219583184 has 640 divisors, whose sum is σ = 659669298462720. Its totient is φ = 60822586294272.

The previous prime is 216790219583099. The next prime is 216790219583219. The reversal of 216790219583184 is 481385912097612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4022278924 + ... + 4022332820.

It is an arithmetic number, because the mean of its divisors is an integer number (1030733278848).

It is a 1-persistent number, because it is pandigital, but 2⋅216790219583184 = 433580439166368 is not.

Almost surely, 2^{216790219583184} is an apocalyptic number.

216790219583184 is a gapful number since it is divisible by the number (24) 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 216790219583184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329834649231360).

216790219583184 is an abundant number, since it is smaller than the sum of its proper divisors (442879078879536).

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

216790219583184 is a wasteful number, since it uses less digits than its factorization.

216790219583184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54147 (or 54141 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 66.

The spelling of 216790219583184 in words is "two hundred sixteen trillion, seven hundred ninety billion, two hundred nineteen million, five hundred eighty-three thousand, one hundred eighty-four".