10067808400 has 120 divisors (see below), whose sum is σ = 27181385280. Its totient is φ = 3555678720.

The previous prime is 10067808389. The next prime is 10067808419. The reversal of 10067808400 is 480876001.

It is a happy number.

It is a super-2 number, since 2×10067808400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77511 + ... + 161689.

It is an arithmetic number, because the mean of its divisors is an integer number (226511544).

Almost surely, 2^10067808400 is an apocalyptic number.

10067808400 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 10067808400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13590692640).

10067808400 is an abundant number, since it is smaller than the sum of its proper divisors (17113576880).

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

10067808400 is a wasteful number, since it uses less digits than its factorization.

10067808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84233 (or 84222 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 10067808400 in words is "ten billion, sixty-seven million, eight hundred eight thousand, four hundred".