10683872760 has 256 divisors, whose sum is σ = 35582976000. Its totient is φ = 2544744960.

The previous prime is 10683872753. The next prime is 10683872791. The reversal of 10683872760 is 6727838601.

It is a super-2 number, since 2×10683872760² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 24336621 + ... + 24337059.

It is an arithmetic number, because the mean of its divisors is an integer number (138996000).

Almost surely, 2^10683872760 is an apocalyptic number.

10683872760 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 10683872760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17791488000).

10683872760 is an abundant number, since it is smaller than the sum of its proper divisors (24899103240).

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

10683872760 is a wasteful number, since it uses less digits than its factorization.

10683872760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 10683872760 in words is "ten billion, six hundred eighty-three million, eight hundred seventy-two thousand, seven hundred sixty".