130578282878400 has 2352 divisors, whose sum is σ = 578110813539840. Its totient is φ = 28383718809600.

The previous prime is 130578282878387. The next prime is 130578282878423. The reversal of 130578282878400 is 4878282875031.

130578282878400 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 7 + 82 + 82 + 8 + 78 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 15864202285 + ... + 15864210515.

It is an arithmetic number, because the mean of its divisors is an integer number (245795413920).

Almost surely, 2^{130578282878400} is an apocalyptic number.

130578282878400 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 130578282878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289055406769920).

130578282878400 is an abundant number, since it is smaller than the sum of its proper divisors (447532530661440).

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

130578282878400 is an equidigital number, since it uses as much as digits as its factorization.

130578282878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8374 (or 8344 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 130578282878400 in words is "one hundred thirty trillion, five hundred seventy-eight billion, two hundred eighty-two million, eight hundred seventy-eight thousand, four hundred".