216065366400 has 384 divisors, whose sum is σ = 767628368640. Its totient is φ = 53100748800.

The previous prime is 216065366393. The next prime is 216065366417. The reversal of 216065366400 is 4663560612.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121179909 + ... + 121181691.

It is an arithmetic number, because the mean of its divisors is an integer number (1999032210).

Almost surely, 2^216065366400 is an apocalyptic number.

216065366400 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 216065366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383814184320).

216065366400 is an abundant number, since it is smaller than the sum of its proper divisors (551563002240).

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

216065366400 is a wasteful number, since it uses less digits than its factorization.

216065366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 216065366400 in words is "two hundred sixteen billion, sixty-five million, three hundred sixty-six thousand, four hundred".