10868679360 has 1344 divisors, whose sum is σ = 52300753920. Its totient is φ = 2057011200.

The previous prime is 10868679347. The next prime is 10868679373. The reversal of 10868679360 is 6397686801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10868679347) and next prime (10868679373).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10868679297 and 10868679306.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 350602545 + ... + 350602575.

Almost surely, 2^10868679360 is an apocalyptic number.

10868679360 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 10868679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26150376960).

10868679360 is an abundant number, since it is smaller than the sum of its proper divisors (41432074560).

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

10868679360 is a wasteful number, since it uses less digits than its factorization.

10868679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 10868679360 in words is "ten billion, eight hundred sixty-eight million, six hundred seventy-nine thousand, three hundred sixty".