10939416768 has 672 divisors, whose sum is σ = 41219103744. Its totient is φ = 2802843648.

The previous prime is 10939416731. The next prime is 10939416769. The reversal of 10939416768 is 86761493901.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (10939416769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42565696 + ... + 42565952.

It is an arithmetic number, because the mean of its divisors is an integer number (61337952).

Almost surely, 2^10939416768 is an apocalyptic number.

10939416768 is a gapful number since it is divisible by the number (18) 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 10939416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20609551872).

10939416768 is an abundant number, since it is smaller than the sum of its proper divisors (30279686976).

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

10939416768 is a wasteful number, since it uses less digits than its factorization.

10939416768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 10939416768 in words is "ten billion, nine hundred thirty-nine million, four hundred sixteen thousand, seven hundred sixty-eight".