200216235513400 has 192 divisors, whose sum is σ = 481852003248000. Its totient is φ = 77314911436800.

The previous prime is 200216235513367. The next prime is 200216235513403. The reversal of 200216235513400 is 4315532612002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200216235513403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5861285521 + ... + 5861319679.

It is an arithmetic number, because the mean of its divisors is an integer number (2509645850250).

Almost surely, 2^{200216235513400} is an apocalyptic number.

200216235513400 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 200216235513400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240926001624000).

200216235513400 is an abundant number, since it is smaller than the sum of its proper divisors (281635767734600).

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

200216235513400 is a wasteful number, since it uses less digits than its factorization.

200216235513400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41682 (or 41673 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 200216235513400 in words is "two hundred trillion, two hundred sixteen billion, two hundred thirty-five million, five hundred thirteen thousand, four hundred".