10206255525664 has 192 divisors, whose sum is σ = 23143092940800. Its totient is φ = 4381892121600.

The previous prime is 10206255525647. The next prime is 10206255525679. The reversal of 10206255525664 is 46652555260201.

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 31 ways as a sum of consecutive naturals, for example, 3939117009 + ... + 3939119599.

It is an arithmetic number, because the mean of its divisors is an integer number (120536942400).

Almost surely, 2^{10206255525664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10206255525664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11571546470400).

10206255525664 is an abundant number, since it is smaller than the sum of its proper divisors (12936837415136).

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

10206255525664 is a wasteful number, since it uses less digits than its factorization.

10206255525664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4167 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 49.

The spelling of 10206255525664 in words is "ten trillion, two hundred six billion, two hundred fifty-five million, five hundred twenty-five thousand, six hundred sixty-four".