10026163200 has 264 divisors, whose sum is σ = 34886120320. Its totient is φ = 2532556800.

The previous prime is 10026163193. The next prime is 10026163211. The reversal of 10026163200 is 236162001.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 1455765 + ... + 1462635.

Almost surely, 2^10026163200 is an apocalyptic number.

10026163200 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 10026163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17443060160).

10026163200 is an abundant number, since it is smaller than the sum of its proper divisors (24859957120).

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

10026163200 is a wasteful number, since it uses less digits than its factorization.

10026163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6923 (or 6900 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The spelling of 10026163200 in words is "ten billion, twenty-six million, one hundred sixty-three thousand, two hundred".