10082042880 has 352 divisors, whose sum is σ = 39693851904. Its totient is φ = 2126905344.

The previous prime is 10082042869. The next prime is 10082042881. The reversal of 10082042880 is 8824028001.

It is not an unprimeable number, because it can be changed into a prime (10082042881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1394154 + ... + 1401366.

Almost surely, 2^10082042880 is an apocalyptic number.

10082042880 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 10082042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19846925952).

10082042880 is an abundant number, since it is smaller than the sum of its proper divisors (29611809024).

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

10082042880 is a wasteful number, since it uses less digits than its factorization.

10082042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7261 (or 7243 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The spelling of 10082042880 in words is "ten billion, eighty-two million, forty-two thousand, eight hundred eighty".