10286535168 has 960 divisors, whose sum is σ = 40976305920. Its totient is φ = 2484338688.

The previous prime is 10286535143. The next prime is 10286535179. The reversal of 10286535168 is 86153568201.

10286535168 is a `hidden beast` number, since 1 + 0 + 2 + 86 + 53 + 516 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278014446 + ... + 278014482.

It is an arithmetic number, because the mean of its divisors is an integer number (42683652).

Almost surely, 2^10286535168 is an apocalyptic number.

10286535168 is a gapful number since it is divisible by the number (18) 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 10286535168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20488152960).

10286535168 is an abundant number, since it is smaller than the sum of its proper divisors (30689770752).

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

10286535168 is a wasteful number, since it uses less digits than its factorization.

10286535168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 10286535168 in words is "ten billion, two hundred eighty-six million, five hundred thirty-five thousand, one hundred sixty-eight".