206625310080 has 768 divisors, whose sum is σ = 816586997760. Its totient is φ = 43495833600.

The previous prime is 206625310079. The next prime is 206625310091. The reversal of 206625310080 is 80013526602.

It is a super-2 number, since 2×206625310080² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 179517505 + ... + 179518655.

It is an arithmetic number, because the mean of its divisors is an integer number (1063264320).

Almost surely, 2^206625310080 is an apocalyptic number.

206625310080 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 206625310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408293498880).

206625310080 is an abundant number, since it is smaller than the sum of its proper divisors (609961687680).

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

206625310080 is a wasteful number, since it uses less digits than its factorization.

206625310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 206625310080 its reverse (80013526602), we get a palindrome (286638836682).

The spelling of 206625310080 in words is "two hundred six billion, six hundred twenty-five million, three hundred ten thousand, eighty".