216824182860480 has 448 divisors, whose sum is σ = 791081849725440. Its totient is φ = 49870399832064.

The previous prime is 216824182860469. The next prime is 216824182860539. The reversal of 216824182860480 is 84068281428612.

It is a super-2 number, since 2×216824182860480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11046699 + ... + 23572821.

It is an arithmetic number, because the mean of its divisors is an integer number (1765807700280).

Almost surely, 2^{216824182860480} is an apocalyptic number.

216824182860480 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 216824182860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395540924862720).

216824182860480 is an abundant number, since it is smaller than the sum of its proper divisors (574257666864960).

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

216824182860480 is a wasteful number, since it uses less digits than its factorization.

216824182860480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12526248 (or 12526238 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 60.

The spelling of 216824182860480 in words is "two hundred sixteen trillion, eight hundred twenty-four billion, one hundred eighty-two million, eight hundred sixty thousand, four hundred eighty".