10530222032000 has 256 divisors, whose sum is σ = 28571989455360. Its totient is φ = 3827676160000.

The previous prime is 10530222031961. The next prime is 10530222032041. The reversal of 10530222032000 is 23022203501.

It is a super-2 number, since 2×10530222032000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515141780 + ... + 515162220.

It is an arithmetic number, because the mean of its divisors is an integer number (111609333810).

Almost surely, 2^{10530222032000} is an apocalyptic number.

10530222032000 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 10530222032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14285994727680).

10530222032000 is an abundant number, since it is smaller than the sum of its proper divisors (18041767423360).

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

10530222032000 is a wasteful number, since it uses less digits than its factorization.

10530222032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23408 (or 23386 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 10530222032000 its reverse (23022203501), we get a palindrome (10553244235501).

The spelling of 10530222032000 in words is "ten trillion, five hundred thirty billion, two hundred twenty-two million, thirty-two thousand".