206255536020 has 288 divisors, whose sum is σ = 649056844800. Its totient is φ = 52986700800.

The previous prime is 206255536001. The next prime is 206255536031. The reversal of 206255536020 is 20635552602.

206255536020 is a `hidden beast` number, since 2 + 0 + 6 + 25 + 553 + 60 + 20 = 666.

It is a super-2 number, since 2×206255536020² (a number of 23 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170036934 + ... + 170038146.

It is an arithmetic number, because the mean of its divisors is an integer number (2253669600).

Almost surely, 2^206255536020 is an apocalyptic number.

206255536020 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 206255536020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324528422400).

206255536020 is an abundant number, since it is smaller than the sum of its proper divisors (442801308780).

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

206255536020 is a wasteful number, since it uses less digits than its factorization.

206255536020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 206255536020 in words is "two hundred six billion, two hundred fifty-five million, five hundred thirty-six thousand, twenty".