216258033600 has 2688 divisors, whose sum is σ = 1044961689600. Its totient is φ = 42334617600.

The previous prime is 216258033557. The next prime is 216258033619. The reversal of 216258033600 is 6330852612.

It is a happy number.

216258033600 is a `hidden beast` number, since 2 + 16 + 2 + 5 + 8 + 0 + 33 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3665390371 + ... + 3665390429.

Almost surely, 2^216258033600 is an apocalyptic number.

216258033600 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 216258033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522480844800).

216258033600 is an abundant number, since it is smaller than the sum of its proper divisors (828703656000).

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

216258033600 is a wasteful number, since it uses less digits than its factorization.

216258033600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 216258033600 in words is "two hundred sixteen billion, two hundred fifty-eight million, thirty-three thousand, six hundred".