10682505076320 has 3456 divisors, whose sum is σ = 51131795097600. Its totient is φ = 2095152998400.

The previous prime is 10682505076267. The next prime is 10682505076349. The reversal of 10682505076320 is 2367050528601.

10682505076320 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 2 + 5 + 0 + 5 + 0 + 7 + 632 + 0 = 666.

It is a super-2 number, since 2×10682505076320² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 39418837785 + ... + 39418838055.

It is an arithmetic number, because the mean of its divisors is an integer number (14795079600).

Almost surely, 2^{10682505076320} is an apocalyptic number.

10682505076320 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 10682505076320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25565897548800).

10682505076320 is an abundant number, since it is smaller than the sum of its proper divisors (40449290021280).

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

10682505076320 is a wasteful number, since it uses less digits than its factorization.

10682505076320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 10682505076320 in words is "ten trillion, six hundred eighty-two billion, five hundred five million, seventy-six thousand, three hundred twenty".