10672220160 has 576 divisors, whose sum is σ = 43051357440. Its totient is φ = 2394685440.

The previous prime is 10672220137. The next prime is 10672220161. The reversal of 10672220160 is 6102227601.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10672220160² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10672220161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45803404 + ... + 45803636.

It is an arithmetic number, because the mean of its divisors is an integer number (74741940).

Almost surely, 2^10672220160 is an apocalyptic number.

10672220160 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 10672220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21525678720).

10672220160 is an abundant number, since it is smaller than the sum of its proper divisors (32379137280).

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

10672220160 is a wasteful number, since it uses less digits than its factorization.

10672220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 10672220160 its reverse (6102227601), we get a palindrome (16774447761).

The spelling of 10672220160 in words is "ten billion, six hundred seventy-two million, two hundred twenty thousand, one hundred sixty".