10687220000 has 270 divisors, whose sum is σ = 28594372653. Its totient is φ = 3929856000.

The previous prime is 10687219999. The next prime is 10687220009. The reversal of 10687220000 is 2278601.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 1449616 + 10685770384 = 1204^2 + 103372^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=73100.

It is a super-2 number, since 2×10687220000² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10687220009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 248539979 + ... + 248540021.

Almost surely, 2^10687220000 is an apocalyptic number.

10687220000 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 10687220000

10687220000 is an abundant number, since it is smaller than the sum of its proper divisors (17907152653).

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

10687220000 is an frugal number, since it uses more digits than its factorization.

10687220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

Adding to 10687220000 its reverse (2278601), we get a palindrome (10689498601).

The spelling of 10687220000 in words is "ten billion, six hundred eighty-seven million, two hundred twenty thousand".