10524412400 has 60 divisors (see below), whose sum is σ = 25426330200. Its totient is φ = 4186218240.

The previous prime is 10524412387. The next prime is 10524412421. The reversal of 10524412400 is 421442501.

It is a super-2 number, since 2×10524412400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1895 + ... + 145094.

It is an arithmetic number, because the mean of its divisors is an integer number (423772170).

Almost surely, 2^10524412400 is an apocalyptic number.

10524412400 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 10524412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12713165100).

10524412400 is an abundant number, since it is smaller than the sum of its proper divisors (14901917800).

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

10524412400 is a wasteful number, since it uses less digits than its factorization.

10524412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147186 (or 147175 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 10524412400 its reverse (421442501), we get a palindrome (10945854901).

The spelling of 10524412400 in words is "ten billion, five hundred twenty-four million, four hundred twelve thousand, four hundred".