10293393168 has 200 divisors, whose sum is σ = 31130299200. Its totient is φ = 3279419136.

The previous prime is 10293393163. The next prime is 10293393181. The reversal of 10293393168 is 86139339201.

10293393168 is a `hidden beast` number, since 10 + 2 + 93 + 393 + 168 = 666.

It is a super-2 number, since 2×10293393168² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10293393161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3869823 + ... + 3872481.

It is an arithmetic number, because the mean of its divisors is an integer number (155651496).

Almost surely, 2^10293393168 is an apocalyptic number.

10293393168 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 10293393168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15565149600).

10293393168 is an abundant number, since it is smaller than the sum of its proper divisors (20836906032).

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

10293393168 is a wasteful number, since it uses less digits than its factorization.

10293393168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 10293393168 in words is "ten billion, two hundred ninety-three million, three hundred ninety-three thousand, one hundred sixty-eight".