10533816000 has 336 divisors, whose sum is σ = 39325710528. Its totient is φ = 2686464000.

The previous prime is 10533815993. The next prime is 10533816017. The reversal of 10533816000 is 61833501.

10533816000 is a `hidden beast` number, since 1 + 0 + 53 + 3 + 8 + 1 + 600 + 0 = 666.

10533816000 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 2×10533816000² (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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1652820 + ... + 1659180.

Almost surely, 2^10533816000 is an apocalyptic number.

10533816000 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 10533816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19662855264).

10533816000 is an abundant number, since it is smaller than the sum of its proper divisors (28791894528).

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

10533816000 is a wasteful number, since it uses less digits than its factorization.

10533816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417 (or 6394 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10533816000 in words is "ten billion, five hundred thirty-three million, eight hundred sixteen thousand".