130839878400 has 1296 divisors, whose sum is σ = 561699048960. Its totient is φ = 26510131200.

The previous prime is 130839878381. The next prime is 130839878423. The reversal of 130839878400 is 4878938031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 486393466 + ... + 486393734.

It is an arithmetic number, because the mean of its divisors is an integer number (433409760).

Almost surely, 2^130839878400 is an apocalyptic number.

130839878400 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 130839878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280849524480).

130839878400 is an abundant number, since it is smaller than the sum of its proper divisors (430859170560).

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

130839878400 is a wasteful number, since it uses less digits than its factorization.

130839878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 130839878400 in words is "one hundred thirty billion, eight hundred thirty-nine million, eight hundred seventy-eight thousand, four hundred".