10682651136 has 80 divisors (see below), whose sum is σ = 28603080000. Its totient is φ = 3542888448.

The previous prime is 10682651129. The next prime is 10682651159. The reversal of 10682651136 is 63115628601.

It is a super-2 number, since 2×10682651136² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10682651094 and 10682651103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288190 + ... + 323138.

It is an arithmetic number, because the mean of its divisors is an integer number (357538500).

Almost surely, 2^10682651136 is an apocalyptic number.

10682651136 is a gapful number since it is divisible by the number (16) 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 10682651136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14301540000).

10682651136 is an abundant number, since it is smaller than the sum of its proper divisors (17920428864).

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

10682651136 is an equidigital number, since it uses as much as digits as its factorization.

10682651136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35169 (or 35153 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 10682651136 in words is "ten billion, six hundred eighty-two million, six hundred fifty-one thousand, one hundred thirty-six".