216202413600 has 720 divisors, whose sum is σ = 850386509280. Its totient is φ = 53274931200.

The previous prime is 216202413587. The next prime is 216202413659. The reversal of 216202413600 is 6314202612.

216202413600 is a `hidden beast` number, since 2 + 1 + 6 + 20 + 24 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 50477059 + ... + 50481341.

It is an arithmetic number, because the mean of its divisors is an integer number (1181092374).

Almost surely, 2^216202413600 is an apocalyptic number.

216202413600 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 216202413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425193254640).

216202413600 is an abundant number, since it is smaller than the sum of its proper divisors (634184095680).

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

216202413600 is a wasteful number, since it uses less digits than its factorization.

216202413600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 216202413600 in words is "two hundred sixteen billion, two hundred two million, four hundred thirteen thousand, six hundred".