10868029600 has 144 divisors (see below), whose sum is σ = 27470741760. Its totient is φ = 4194201600.

The previous prime is 10868029561. The next prime is 10868029607. The reversal of 10868029600 is 692086801.

It is a super-2 number, since 2×10868029600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (10868029607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14706031 + ... + 14706769.

It is an arithmetic number, because the mean of its divisors is an integer number (190769040).

Almost surely, 2^10868029600 is an apocalyptic number.

10868029600 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 10868029600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13735370880).

10868029600 is an abundant number, since it is smaller than the sum of its proper divisors (16602712160).

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

10868029600 is a wasteful number, since it uses less digits than its factorization.

10868029600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 10868029600 in words is "ten billion, eight hundred sixty-eight million, twenty-nine thousand, six hundred".