216098210016 has 240 divisors, whose sum is σ = 685490773968. Its totient is φ = 66388377600.

The previous prime is 216098209997. The next prime is 216098210023. The reversal of 216098210016 is 610012890612.

216098210016 is a `hidden beast` number, since 21 + 609 + 8 + 2 + 10 + 0 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23279296 + ... + 23288576.

Almost surely, 2^216098210016 is an apocalyptic number.

216098210016 is a gapful number since it is divisible by the number (26) 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 216098210016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342745386984).

216098210016 is an abundant number, since it is smaller than the sum of its proper divisors (469392563952).

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

216098210016 is a wasteful number, since it uses less digits than its factorization.

216098210016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10007 (or 9990 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 216098210016 in words is "two hundred sixteen billion, ninety-eight million, two hundred ten thousand, sixteen".