10080679752 has 192 divisors, whose sum is σ = 33470236800. Its totient is φ = 2697108480.

The previous prime is 10080679747. The next prime is 10080679841. The reversal of 10080679752 is 25797608001.

It is a junction number, because it is equal to n+sod(n) for n = 10080679698 and 10080679707.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215524 + ... + 258092.

It is an arithmetic number, because the mean of its divisors is an integer number (174324150).

Almost surely, 2^10080679752 is an apocalyptic number.

10080679752 is a gapful number since it is divisible by the number (12) 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 10080679752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16735118400).

10080679752 is an abundant number, since it is smaller than the sum of its proper divisors (23389557048).

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

10080679752 is a wasteful number, since it uses less digits than its factorization.

10080679752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42628 (or 42621 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 10080679752 in words is "ten billion, eighty million, six hundred seventy-nine thousand, seven hundred fifty-two".