10322620342272 has 1344 divisors, whose sum is σ = 37616248750080. Its totient is φ = 2763062378496.

The previous prime is 10322620342267. The next prime is 10322620342319. The reversal of 10322620342272 is 27224302622301.

10322620342272 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 2 + 620 + 3 + 4 + 2 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33624170343 + ... + 33624170649.

It is an arithmetic number, because the mean of its divisors is an integer number (27988280320).

Almost surely, 2^{10322620342272} is an apocalyptic number.

10322620342272 is a gapful number since it is divisible by the number (12) 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 10322620342272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18808124375040).

10322620342272 is an abundant number, since it is smaller than the sum of its proper divisors (27293628407808).

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

10322620342272 is an equidigital number, since it uses as much as digits as its factorization.

10322620342272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 10322620342272 its reverse (27224302622301), we get a palindrome (37546922964573).

The spelling of 10322620342272 in words is "ten trillion, three hundred twenty-two billion, six hundred twenty million, three hundred forty-two thousand, two hundred seventy-two".