10533124400 has 60 divisors (see below), whose sum is σ = 25316614752. Its totient is φ = 4211454720.

The previous prime is 10533124397. The next prime is 10533124403. The reversal of 10533124400 is 442133501.

10533124400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10533124397) and next prime (10533124403).

It is a super-2 number, since 2×10533124400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10533124403) 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, 1333262 + ... + 1341138.

Almost surely, 2^10533124400 is an apocalyptic number.

10533124400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10533124400 is an abundant number, since it is smaller than the sum of its proper divisors (14783490352).

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

10533124400 is a wasteful number, since it uses less digits than its factorization.

10533124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11238 (or 11227 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 10533124400 its reverse (442133501), we get a palindrome (10975257901).

The spelling of 10533124400 in words is "ten billion, five hundred thirty-three million, one hundred twenty-four thousand, four hundred".