10534244400 has 180 divisors, whose sum is σ = 37911057912. Its totient is φ = 2809105920.

The previous prime is 10534244377. The next prime is 10534244411. The reversal of 10534244400 is 444243501.

It is a happy number.

10534244400 is a `hidden beast` number, since 10 + 5 + 3 + 4 + 244 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×10534244400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43012 + ... + 151388.

Almost surely, 2^10534244400 is an apocalyptic number.

10534244400 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 10534244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18955528956).

10534244400 is an abundant number, since it is smaller than the sum of its proper divisors (27376813512).

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

10534244400 is a wasteful number, since it uses less digits than its factorization.

10534244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108410 (or 108387 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 10534244400 its reverse (444243501), we get a palindrome (10978487901).

The spelling of 10534244400 in words is "ten billion, five hundred thirty-four million, two hundred forty-four thousand, four hundred".