216430355724000 has 768 divisors, whose sum is σ = 802379481845760. Its totient is φ = 50540206080000.

The previous prime is 216430355723963. The next prime is 216430355724083. The reversal of 216430355724000 is 427553034612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 427294894 + ... + 427801106.

It is an arithmetic number, because the mean of its divisors is an integer number (1044764950320).

Almost surely, 2^{216430355724000} is an apocalyptic number.

216430355724000 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 216430355724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401189740922880).

216430355724000 is an abundant number, since it is smaller than the sum of its proper divisors (585949126121760).

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

216430355724000 is a wasteful number, since it uses less digits than its factorization.

216430355724000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506372 (or 506354 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 216430355724000 in words is "two hundred sixteen trillion, four hundred thirty billion, three hundred fifty-five million, seven hundred twenty-four thousand".