10522402400 has 144 divisors (see below), whose sum is σ = 26241757920. Its totient is φ = 4118937600.

The previous prime is 10522402379. The next prime is 10522402417. The reversal of 10522402400 is 420422501.

It is a happy number.

10522402400 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 2×10522402400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 12541181 + ... + 12542019.

It is an arithmetic number, because the mean of its divisors is an integer number (182234430).

Almost surely, 2^10522402400 is an apocalyptic number.

10522402400 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 10522402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13120878960).

10522402400 is an abundant number, since it is smaller than the sum of its proper divisors (15719355520).

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

10522402400 is a wasteful number, since it uses less digits than its factorization.

10522402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 10522402400 its reverse (420422501), we get a palindrome (10942824901).

The spelling of 10522402400 in words is "ten billion, five hundred twenty-two million, four hundred two thousand, four hundred".