216802713600 has 1512 divisors, whose sum is σ = 924276041208. Its totient is φ = 48129638400.

The previous prime is 216802713593. The next prime is 216802713601. The reversal of 216802713600 is 6317208612.

216802713600 is a `hidden beast` number, since 2 + 16 + 8 + 0 + 27 + 13 + 600 = 666.

216802713600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216802713601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5859532782 + ... + 5859532818.

Almost surely, 2^216802713600 is an apocalyptic number.

216802713600 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 216802713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462138020604).

216802713600 is an abundant number, since it is smaller than the sum of its proper divisors (707473327608).

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

216802713600 is a wasteful number, since it uses less digits than its factorization.

216802713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 216802713600 in words is "two hundred sixteen billion, eight hundred two million, seven hundred thirteen thousand, six hundred".