216585242496 has 256 divisors, whose sum is σ = 731303116800. Its totient is φ = 61817333760.

The previous prime is 216585242407. The next prime is 216585242509. The reversal of 216585242496 is 694242585612.

216585242496 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 8 + 524 + 24 + 96 = 666.

It is a super-2 number, since 2×216585242496² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26437761 + ... + 26445951.

It is an arithmetic number, because the mean of its divisors is an integer number (2856652800).

Almost surely, 2^216585242496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216585242496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365651558400).

216585242496 is an abundant number, since it is smaller than the sum of its proper divisors (514717874304).

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

216585242496 is a wasteful number, since it uses less digits than its factorization.

216585242496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9314 (or 9296 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 216585242496 in words is "two hundred sixteen billion, five hundred eighty-five million, two hundred forty-two thousand, four hundred ninety-six".