216833665500000 has 2016 divisors, whose sum is σ = 847668915324000. Its totient is φ = 53910835200000.

The previous prime is 216833665499993. The next prime is 216833665500013. The reversal of 216833665500000 is 5566338612.

216833665500000 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 33 + 66 + 550 + 0 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 581323499814 + ... + 581323500186.

It is an arithmetic number, because the mean of its divisors is an integer number (420470692125).

Almost surely, 2^{216833665500000} is an apocalyptic number.

216833665500000 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 216833665500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423834457662000).

216833665500000 is an abundant number, since it is smaller than the sum of its proper divisors (630835249824000).

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

216833665500000 is an equidigital number, since it uses as much as digits as its factorization.

216833665500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 216833665500000 in words is "two hundred sixteen trillion, eight hundred thirty-three billion, six hundred sixty-five million, five hundred thousand".