216265599000 has 768 divisors, whose sum is σ = 840294000000. Its totient is φ = 51397632000.

The previous prime is 216265598971. The next prime is 216265599001. The reversal of 216265599000 is 995562612.

It is a happy number.

216265599000 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 6 + 559 + 90 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216265599001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 173150376 + ... + 173151624.

Almost surely, 2^216265599000 is an apocalyptic number.

216265599000 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 216265599000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420147000000).

216265599000 is an abundant number, since it is smaller than the sum of its proper divisors (624028401000).

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

216265599000 is a wasteful number, since it uses less digits than its factorization.

216265599000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 216265599000 in words is "two hundred sixteen billion, two hundred sixty-five million, five hundred ninety-nine thousand".