10096579480 has 256 divisors, whose sum is σ = 27869184000. Its totient is φ = 3250741248.

The previous prime is 10096579469. The next prime is 10096579483. The reversal of 10096579480 is 8497569001.

10096579480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10096579483) 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 63 ways as a sum of consecutive naturals, for example, 7893481 + ... + 7894759.

It is an arithmetic number, because the mean of its divisors is an integer number (108864000).

Almost surely, 2^10096579480 is an apocalyptic number.

10096579480 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 10096579480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934592000).

10096579480 is an abundant number, since it is smaller than the sum of its proper divisors (17772604520).

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

10096579480 is a wasteful number, since it uses less digits than its factorization.

10096579480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

The spelling of 10096579480 in words is "ten billion, ninety-six million, five hundred seventy-nine thousand, four hundred eighty".