216393777600 has 1344 divisors, whose sum is σ = 986726845440. Its totient is φ = 40049049600.

The previous prime is 216393777581. The next prime is 216393777641. The reversal of 216393777600 is 6777393612.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 139338424 + ... + 139339976.

It is an arithmetic number, because the mean of its divisors is an integer number (734171760).

Almost surely, 2^216393777600 is an apocalyptic number.

216393777600 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 216393777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493363422720).

216393777600 is an abundant number, since it is smaller than the sum of its proper divisors (770333067840).

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

216393777600 is a wasteful number, since it uses less digits than its factorization.

216393777600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 51.

The spelling of 216393777600 in words is "two hundred sixteen billion, three hundred ninety-three million, seven hundred seventy-seven thousand, six hundred".