10695380480 has 80 divisors (see below), whose sum is σ = 25682374080. Its totient is φ = 4271726592.

The previous prime is 10695380471. The next prime is 10695380483. The reversal of 10695380480 is 8408359601.

10695380480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10695380480² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10695380483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1935161 + ... + 1940679.

It is an arithmetic number, because the mean of its divisors is an integer number (321029676).

Almost surely, 2^10695380480 is an apocalyptic number.

10695380480 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 10695380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12841187040).

10695380480 is an abundant number, since it is smaller than the sum of its proper divisors (14986993600).

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

10695380480 is an frugal number, since it uses more digits than its factorization.

10695380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6299 (or 6283 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 10695380480 in words is "ten billion, six hundred ninety-five million, three hundred eighty thousand, four hundred eighty".