10681739200 has 336 divisors, whose sum is σ = 31974739200. Its totient is φ = 3461529600.

The previous prime is 10681739191. The next prime is 10681739269. The reversal of 10681739200 is 293718601.

It is a super-2 number, since 2×10681739200² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10681739200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5683861 + ... + 5685739.

Almost surely, 2^10681739200 is an apocalyptic number.

10681739200 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 10681739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15987369600).

10681739200 is an abundant number, since it is smaller than the sum of its proper divisors (21293000000).

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

10681739200 is a wasteful number, since it uses less digits than its factorization.

10681739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 10681739200 in words is "ten billion, six hundred eighty-one million, seven hundred thirty-nine thousand, two hundred".