10286606160 has 240 divisors, whose sum is σ = 36702918720. Its totient is φ = 2572922880.

The previous prime is 10286606159. The next prime is 10286606191. The reversal of 10286606160 is 6160668201.

10286606160 is a `hidden beast` number, since 10 + 28 + 6 + 6 + 0 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×10286606160³ (a number of 31 digits) contains 333 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 4050171 + ... + 4052709.

It is an arithmetic number, because the mean of its divisors is an integer number (152928828).

Almost surely, 2^10286606160 is an apocalyptic number.

10286606160 is a gapful number since it is divisible by the number (10) 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 10286606160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18351459360).

10286606160 is an abundant number, since it is smaller than the sum of its proper divisors (26416312560).

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

10286606160 is a wasteful number, since it uses less digits than its factorization.

10286606160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2897 counting only the distinct ones).

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

The spelling of 10286606160 in words is "ten billion, two hundred eighty-six million, six hundred six thousand, one hundred sixty".