206425510175040 has 448 divisors, whose sum is σ = 752095288353024. Its totient is φ = 47518850875392.

The previous prime is 206425510174997. The next prime is 206425510175099. The reversal of 206425510175040 is 40571015524602.

It is a super-2 number, since 2×206425510175040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 206425510174983 and 206425510175001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30210487 + ... + 36407753.

It is an arithmetic number, because the mean of its divisors is an integer number (1678784125788).

Almost surely, 2^{206425510175040} is an apocalyptic number.

206425510175040 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 206425510175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376047644176512).

206425510175040 is an abundant number, since it is smaller than the sum of its proper divisors (545669778177984).

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

206425510175040 is a wasteful number, since it uses less digits than its factorization.

206425510175040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6197474 (or 6197464 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

Adding to 206425510175040 its reverse (40571015524602), we get a palindrome (246996525699642).

The spelling of 206425510175040 in words is "two hundred six trillion, four hundred twenty-five billion, five hundred ten million, one hundred seventy-five thousand, forty".