10220010624 has 512 divisors, whose sum is σ = 33958656000. Its totient is φ = 3010867200.

The previous prime is 10220010623. The next prime is 10220010629. The reversal of 10220010624 is 42601002201.

10220010624 is a `hidden beast` number, since 10 + 2 + 20 + 0 + 10 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10220010597 and 10220010606.

It is not an unprimeable number, because it can be changed into a prime (10220010623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101188174 + ... + 101188274.

It is an arithmetic number, because the mean of its divisors is an integer number (66325500).

Almost surely, 2^10220010624 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 10220010624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16979328000).

10220010624 is an abundant number, since it is smaller than the sum of its proper divisors (23738645376).

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

10220010624 is a wasteful number, since it uses less digits than its factorization.

10220010624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10220010624 its reverse (42601002201), we get a palindrome (52821012825).

The spelling of 10220010624 in words is "ten billion, two hundred twenty million, ten thousand, six hundred twenty-four".