216255627079100 has 288 divisors, whose sum is σ = 542027889661440. Its totient is φ = 73359529251840.

The previous prime is 216255627079091. The next prime is 216255627079109. The reversal of 216255627079100 is 1970726552612.

It is an interprime number because it is at equal distance from previous prime (216255627079091) and next prime (216255627079109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216255627079109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27488953367 + ... + 27488961233.

Almost surely, 2^{216255627079100} is an apocalyptic number.

216255627079100 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 216255627079100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271013944830720).

216255627079100 is an abundant number, since it is smaller than the sum of its proper divisors (325772262582340).

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

216255627079100 is a wasteful number, since it uses less digits than its factorization.

216255627079100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9077 (or 9070 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 53.

The spelling of 216255627079100 in words is "two hundred sixteen trillion, two hundred fifty-five billion, six hundred twenty-seven million, seventy-nine thousand, one hundred".