206256020520 has 256 divisors, whose sum is σ = 697193671680. Its totient is φ = 48380774400.

The previous prime is 206256020491. The next prime is 206256020567. The reversal of 206256020520 is 25020652602.

It is a super-2 number, since 2×206256020520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6056340 + ... + 6090300.

It is an arithmetic number, because the mean of its divisors is an integer number (2723412780).

Almost surely, 2^206256020520 is an apocalyptic number.

206256020520 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 206256020520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348596835840).

206256020520 is an abundant number, since it is smaller than the sum of its proper divisors (490937651160).

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

206256020520 is a wasteful number, since it uses less digits than its factorization.

206256020520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34136 (or 34132 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 206256020520 in words is "two hundred six billion, two hundred fifty-six million, twenty thousand, five hundred twenty".