216937805627500 has 240 divisors, whose sum is σ = 485252669440000. Its totient is φ = 84813539616000.

The previous prime is 216937805627497. The next prime is 216937805627503. The reversal of 216937805627500 is 5726508739612.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (216937805627497) and next prime (216937805627503).

It is not an unprimeable number, because it can be changed into a prime (216937805627503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27533668561 + ... + 27533676439.

Almost surely, 2^{216937805627500} is an apocalyptic number.

216937805627500 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 216937805627500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242626334720000).

216937805627500 is an abundant number, since it is smaller than the sum of its proper divisors (268314863812500).

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

216937805627500 is a wasteful number, since it uses less digits than its factorization.

216937805627500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9370 (or 9353 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 61.

The spelling of 216937805627500 in words is "two hundred sixteen trillion, nine hundred thirty-seven billion, eight hundred five million, six hundred twenty-seven thousand, five hundred".