10080635056 has 40 divisors (see below), whose sum is σ = 20201385600. Its totient is φ = 4868021760.

The previous prime is 10080635051. The next prime is 10080635057. The reversal of 10080635056 is 65053608001.

It is a super-2 number, since 2×10080635056² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10080635051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232500 + ... + 272428.

It is an arithmetic number, because the mean of its divisors is an integer number (505034640).

Almost surely, 2^10080635056 is an apocalyptic number.

10080635056 is a gapful number since it is divisible by the number (16) 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 10080635056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10100692800).

10080635056 is an abundant number, since it is smaller than the sum of its proper divisors (10120750544).

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

10080635056 is a wasteful number, since it uses less digits than its factorization.

10080635056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40477 (or 40471 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 10080635056 in words is "ten billion, eighty million, six hundred thirty-five thousand, fifty-six".