10687131822320 has 40 divisors (see below), whose sum is σ = 24851756553936. Its totient is φ = 4274134437888.

The previous prime is 10687131822287. The next prime is 10687131822329. The reversal of 10687131822320 is 2322813178601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10687131822320² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10687131822329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10744082 + ... + 11696561.

Almost surely, 2^{10687131822320} is an apocalyptic number.

10687131822320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10687131822320 is an abundant number, since it is smaller than the sum of its proper divisors (14164624731616).

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

10687131822320 is a wasteful number, since it uses less digits than its factorization.

10687131822320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22446609 (or 22446603 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 10687131822320 in words is "ten trillion, six hundred eighty-seven billion, one hundred thirty-one million, eight hundred twenty-two thousand, three hundred twenty".