10220364672 has 128 divisors (see below), whose sum is σ = 32096217600. Its totient is φ = 2819389440.

The previous prime is 10220364647. The next prime is 10220364731. The reversal of 10220364672 is 27646302201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12397 + ... + 143507.

It is an arithmetic number, because the mean of its divisors is an integer number (250751700).

Almost surely, 2^10220364672 is an apocalyptic number.

10220364672 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 10220364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16048108800).

10220364672 is an abundant number, since it is smaller than the sum of its proper divisors (21875852928).

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

10220364672 is a wasteful number, since it uses less digits than its factorization.

10220364672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131164 (or 131152 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

Adding to 10220364672 its reverse (27646302201), we get a palindrome (37866666873).

The spelling of 10220364672 in words is "ten billion, two hundred twenty million, three hundred sixty-four thousand, six hundred seventy-two".