216893506896000 has 1536 divisors, whose sum is σ = 881986291280640. Its totient is φ = 52533411840000.

The previous prime is 216893506895993. The next prime is 216893506896019. The reversal of 216893506896000 is 698605398612.

216893506896000 is a `hidden beast` number, since 2 + 1 + 68 + 9 + 3 + 506 + 8 + 9 + 60 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89000206782 + ... + 89000209218.

Almost surely, 2^{216893506896000} is an apocalyptic number.

216893506896000 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 216893506896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440993145640320).

216893506896000 is an abundant number, since it is smaller than the sum of its proper divisors (665092784384640).

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

216893506896000 is a wasteful number, since it uses less digits than its factorization.

216893506896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4539 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 216893506896000 in words is "two hundred sixteen trillion, eight hundred ninety-three billion, five hundred six million, eight hundred ninety-six thousand".