10534733200 has 60 divisors (see below), whose sum is σ = 25738732080. Its totient is φ = 4142462080.

The previous prime is 10534733197. The next prime is 10534733207. The reversal of 10534733200 is 233743501.

10534733200 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 2×10534733200² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10534733207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 199594 + ... + 246793.

It is an arithmetic number, because the mean of its divisors is an integer number (428978868).

Almost surely, 2^10534733200 is an apocalyptic number.

10534733200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10534733200 is an abundant number, since it is smaller than the sum of its proper divisors (15203998880).

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

10534733200 is a wasteful number, since it uses less digits than its factorization.

10534733200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446464 (or 446453 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The spelling of 10534733200 in words is "ten billion, five hundred thirty-four million, seven hundred thirty-three thousand, two hundred".