206580249120 has 768 divisors, whose sum is σ = 812539994112. Its totient is φ = 43042406400.

The previous prime is 206580249119. The next prime is 206580249133. The reversal of 206580249120 is 21942085602.

It is a Cunningham number, because it is equal to 454511²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 370879882 + ... + 370880438.

It is an arithmetic number, because the mean of its divisors is an integer number (1057994784).

Almost surely, 2^206580249120 is an apocalyptic number.

206580249120 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 206580249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406269997056).

206580249120 is an abundant number, since it is smaller than the sum of its proper divisors (605959744992).

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

206580249120 is a wasteful number, since it uses less digits than its factorization.

206580249120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 206580249120 in words is "two hundred six billion, five hundred eighty million, two hundred forty-nine thousand, one hundred twenty".