10080829720 has 48 divisors (see below), whose sum is σ = 24560854560. Its totient is φ = 3722150016.

The previous prime is 10080829691. The next prime is 10080829721. The reversal of 10080829720 is 2792808001.

It is a super-3 number, since 3×10080829720³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10080829720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10080829721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 738864 + ... + 752383.

It is an arithmetic number, because the mean of its divisors is an integer number (511684470).

Almost surely, 2^10080829720 is an apocalyptic number.

10080829720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10080829720 is an abundant number, since it is smaller than the sum of its proper divisors (14480024840).

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

10080829720 is a wasteful number, since it uses less digits than its factorization.

10080829720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491284 (or 1491267 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 10080829720 in words is "ten billion, eighty million, eight hundred twenty-nine thousand, seven hundred twenty".