10534224410000 has 200 divisors, whose sum is σ = 25898173556640. Its totient is φ = 4148698752000.

The previous prime is 10534224409999. The next prime is 10534224410009. The reversal of 10534224410000 is 1442243501.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-4 number, since 4×10534224410000⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10534224410009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2451527852 + ... + 2451532148.

Almost surely, 2^{10534224410000} is an apocalyptic number.

10534224410000 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 10534224410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12949086778320).

10534224410000 is an abundant number, since it is smaller than the sum of its proper divisors (15363949146640).

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

10534224410000 is an equidigital number, since it uses as much as digits as its factorization.

10534224410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8051 (or 8030 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 10534224410000 its reverse (1442243501), we get a palindrome (10535666653501).

The spelling of 10534224410000 in words is "ten trillion, five hundred thirty-four billion, two hundred twenty-four million, four hundred ten thousand".