206624109120 has 1792 divisors, whose sum is σ = 875998126080. Its totient is φ = 40461926400.

The previous prime is 206624109113. The next prime is 206624109143. The reversal of 206624109120 is 21901426602.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2910198685 + ... + 2910198755.

It is an arithmetic number, because the mean of its divisors is an integer number (488838240).

Almost surely, 2^206624109120 is an apocalyptic number.

206624109120 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 206624109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437999063040).

206624109120 is an abundant number, since it is smaller than the sum of its proper divisors (669374016960).

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

206624109120 is a wasteful number, since it uses less digits than its factorization.

206624109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 206624109120 in words is "two hundred six billion, six hundred twenty-four million, one hundred nine thousand, one hundred twenty".