216538589904 has 480 divisors, whose sum is σ = 744301111680. Its totient is φ = 53583151104.

The previous prime is 216538589903. The next prime is 216538589959. The reversal of 216538589904 is 409985835612.

It is a super-2 number, since 2×216538589904² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216538589903) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 321750912 + ... + 321751584.

It is an arithmetic number, because the mean of its divisors is an integer number (1550627316).

Almost surely, 2^216538589904 is an apocalyptic number.

216538589904 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 216538589904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372150555840).

216538589904 is an abundant number, since it is smaller than the sum of its proper divisors (527762521776).

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

216538589904 is a wasteful number, since it uses less digits than its factorization.

216538589904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 60.

The spelling of 216538589904 in words is "two hundred sixteen billion, five hundred thirty-eight million, five hundred eighty-nine thousand, nine hundred four".