10168353000 has 384 divisors, whose sum is σ = 37271314080. Its totient is φ = 2485555200.

The previous prime is 10168352993. The next prime is 10168353007. The reversal of 10168353000 is 35386101.

It is an interprime number because it is at equal distance from previous prime (10168352993) and next prime (10168353007).

It can be written as a sum of positive squares in 16 ways, for example, as 2735499204 + 7432853796 = 52302^2 + 86214^2 .

It is not an unprimeable number, because it can be changed into a prime (10168353007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27260814 + ... + 27261186.

Almost surely, 2^10168353000 is an apocalyptic number.

10168353000 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 10168353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18635657040).

10168353000 is an abundant number, since it is smaller than the sum of its proper divisors (27102961080).

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

10168353000 is a wasteful number, since it uses less digits than its factorization.

10168353000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10168353000 in words is "ten billion, one hundred sixty-eight million, three hundred fifty-three thousand".