10524114400 has 36 divisors (see below), whose sum is σ = 25691996232. Its totient is φ = 4209645440.

The previous prime is 10524114353. The next prime is 10524114407. The reversal of 10524114400 is 441142501.

10524114400 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 2×10524114400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10524114407) 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 5 ways as a sum of consecutive naturals, for example, 6576772 + ... + 6578371.

It is an arithmetic number, because the mean of its divisors is an integer number (713666562).

Almost surely, 2^10524114400 is an apocalyptic number.

10524114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10524114400 is an abundant number, since it is smaller than the sum of its proper divisors (15167881832).

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

10524114400 is a wasteful number, since it uses less digits than its factorization.

10524114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13155163 (or 13155150 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 10524114400 its reverse (441142501), we get a palindrome (10965256901).

The spelling of 10524114400 in words is "ten billion, five hundred twenty-four million, one hundred fourteen thousand, four hundred".