104282129280 has 768 divisors, whose sum is σ = 410403283200. Its totient is φ = 22394437632.

The previous prime is 104282129279. The next prime is 104282129291. The reversal of 104282129280 is 82921282401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 405766912 + ... + 405767168.

It is an arithmetic number, because the mean of its divisors is an integer number (534379275).

Almost surely, 2^104282129280 is an apocalyptic number.

104282129280 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 104282129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205201641600).

104282129280 is an abundant number, since it is smaller than the sum of its proper divisors (306121153920).

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

104282129280 is a wasteful number, since it uses less digits than its factorization.

104282129280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 104282129280 in words is "one hundred four billion, two hundred eighty-two million, one hundred twenty-nine thousand, two hundred eighty".