216760320000 has 1140 divisors, whose sum is σ = 933587375160. Its totient is φ = 49545216000.

The previous prime is 216760319983. The next prime is 216760320067. The reversal of 216760320000 is 23067612.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30965759997 + ... + 30965760003.

It is an arithmetic number, because the mean of its divisors is an integer number (818936294).

Almost surely, 2^216760320000 is an apocalyptic number.

216760320000 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 216760320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466793687580).

216760320000 is an abundant number, since it is smaller than the sum of its proper divisors (716827055160).

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

216760320000 is an frugal number, since it uses more digits than its factorization.

216760320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Multiplying 216760320000 by its sum of digits (27), we get a square (5852528640000 = 2419200²).

216760320000 divided by its sum of digits (27) gives a square (8028160000 = 89600²).

Adding to 216760320000 its reverse (23067612), we get a palindrome (216783387612).

The spelling of 216760320000 in words is "two hundred sixteen billion, seven hundred sixty million, three hundred twenty thousand".