10553342400 has 504 divisors, whose sum is σ = 39621464064. Its totient is φ = 2660198400.

The previous prime is 10553342383. The next prime is 10553342407. The reversal of 10553342400 is 424335501.

10553342400 is a `hidden beast` number, since 105 + 533 + 4 + 24 + 0 + 0 = 666.

It is a super-2 number, since 2×10553342400² (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 (10553342407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20980549 + ... + 20981051.

It is an arithmetic number, because the mean of its divisors is an integer number (78614016).

Almost surely, 2^10553342400 is an apocalyptic number.

10553342400 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 10553342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19810732032).

10553342400 is an abundant number, since it is smaller than the sum of its proper divisors (29068121664).

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

10553342400 is a wasteful number, since it uses less digits than its factorization.

10553342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 10553342400 its reverse (424335501), we get a palindrome (10977677901).

The spelling of 10553342400 in words is "ten billion, five hundred fifty-three million, three hundred forty-two thousand, four hundred".