206125428378240 has 7168 divisors, whose sum is σ = 994247631175680. Its totient is φ = 39730308710400.

The previous prime is 206125428378229. The next prime is 206125428378253. The reversal of 206125428378240 is 42873824521602.

206125428378240 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 2 + 5 + 4 + 28 + 378 + 240 = 666.

It is a super-2 number, since 2×206125428378240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 1623034869057 + ... + 1623034869183.

It is an arithmetic number, because the mean of its divisors is an integer number (138706421760).

Almost surely, 2^{206125428378240} is an apocalyptic number.

206125428378240 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 206125428378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497123815587840).

206125428378240 is an abundant number, since it is smaller than the sum of its proper divisors (788122202797440).

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

206125428378240 is a wasteful number, since it uses less digits than its factorization.

206125428378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 206125428378240 in words is "two hundred six trillion, one hundred twenty-five billion, four hundred twenty-eight million, three hundred seventy-eight thousand, two hundred forty".