206128611360 has 144 divisors (see below), whose sum is σ = 803901623616. Its totient is φ = 47115108864.

The previous prime is 206128611341. The next prime is 206128611371. The reversal of 206128611360 is 63116821602.

It is a happy number.

206128611360 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 2 + 8 + 611 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 10214554 + ... + 10234713.

It is an arithmetic number, because the mean of its divisors is an integer number (5582650164).

Almost surely, 2^206128611360 is an apocalyptic number.

206128611360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206128611360 is an abundant number, since it is smaller than the sum of its proper divisors (597773012256).

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

206128611360 is a wasteful number, since it uses less digits than its factorization.

206128611360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20449295 (or 20449284 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 206128611360 in words is "two hundred six billion, one hundred twenty-eight million, six hundred eleven thousand, three hundred sixty".