10220533452624 has 320 divisors, whose sum is σ = 31308259000320. Its totient is φ = 2838483648000.

The previous prime is 10220533452607. The next prime is 10220533452631. The reversal of 10220533452624 is 42625433502201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1701434229 + ... + 1701440235.

It is an arithmetic number, because the mean of its divisors is an integer number (97838309376).

Almost surely, 2^{10220533452624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220533452624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15654129500160).

10220533452624 is an abundant number, since it is smaller than the sum of its proper divisors (21087725547696).

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

10220533452624 is a wasteful number, since it uses less digits than its factorization.

10220533452624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11550 (or 11544 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 10220533452624 its reverse (42625433502201), we get a palindrome (52845966954825).

The spelling of 10220533452624 in words is "ten trillion, two hundred twenty billion, five hundred thirty-three million, four hundred fifty-two thousand, six hundred twenty-four".