10626211200 has 384 divisors, whose sum is σ = 39012503040. Its totient is φ = 2520064000.

The previous prime is 10626211151. The next prime is 10626211229. The reversal of 10626211200 is 211262601.

10626211200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10626211200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4962130 + ... + 4964270.

It is an arithmetic number, because the mean of its divisors is an integer number (101595060).

Almost surely, 2^10626211200 is an apocalyptic number.

10626211200 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 10626211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19506251520).

10626211200 is an abundant number, since it is smaller than the sum of its proper divisors (28386291840).

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

10626211200 is a wasteful number, since it uses less digits than its factorization.

10626211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10626211200 its reverse (211262601), we get a palindrome (10837473801).

The spelling of 10626211200 in words is "ten billion, six hundred twenty-six million, two hundred eleven thousand, two hundred".