10682044231680 has 832 divisors, whose sum is σ = 40709165155200. Its totient is φ = 2680792547328.

The previous prime is 10682044231601. The next prime is 10682044231699. The reversal of 10682044231680 is 8613244028601.

10682044231680 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 204 + 423 + 16 + 8 + 0 = 666.

It is a super-2 number, since 2×10682044231680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 761418906 + ... + 761432934.

Almost surely, 2^{10682044231680} is an apocalyptic number.

10682044231680 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 10682044231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20354582577600).

10682044231680 is an abundant number, since it is smaller than the sum of its proper divisors (30027120923520).

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

10682044231680 is an frugal number, since it uses more digits than its factorization.

10682044231680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14096 (or 14056 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 10682044231680 in words is "ten trillion, six hundred eighty-two billion, forty-four million, two hundred thirty-one thousand, six hundred eighty".