10523229200 has 180 divisors, whose sum is σ = 28362215952. Its totient is φ = 3721075200.

The previous prime is 10523229161. The next prime is 10523229221. The reversal of 10523229200 is 292232501.

10523229200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10523229200² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10523229200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6022727 + ... + 6024473.

Almost surely, 2^10523229200 is an apocalyptic number.

10523229200 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 10523229200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14181107976).

10523229200 is an abundant number, since it is smaller than the sum of its proper divisors (17838986752).

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

10523229200 is a wasteful number, since it uses less digits than its factorization.

10523229200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 10523229200 in words is "ten billion, five hundred twenty-three million, two hundred twenty-nine thousand, two hundred".