10352031652320 has 192 divisors, whose sum is σ = 32875896985344. Its totient is φ = 2738007982080.

The previous prime is 10352031652289. The next prime is 10352031652327. The reversal of 10352031652320 is 2325613025301.

It is a super-2 number, since 2×10352031652320² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10352031652327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38281104 + ... + 38550576.

It is an arithmetic number, because the mean of its divisors is an integer number (171228630132).

Almost surely, 2^{10352031652320} is an apocalyptic number.

10352031652320 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 10352031652320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16437948492672).

10352031652320 is an abundant number, since it is smaller than the sum of its proper divisors (22523865333024).

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

10352031652320 is a wasteful number, since it uses less digits than its factorization.

10352031652320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270145 (or 270137 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 10352031652320 its reverse (2325613025301), we get a palindrome (12677644677621).

The spelling of 10352031652320 in words is "ten trillion, three hundred fifty-two billion, thirty-one million, six hundred fifty-two thousand, three hundred twenty".