130785782400 has 864 divisors, whose sum is σ = 584706131100. Its totient is φ = 27590492160.

The previous prime is 130785782399. The next prime is 130785782411. The reversal of 130785782400 is 4287587031.

130785782400 is a `hidden beast` number, since 1 + 3 + 0 + 78 + 578 + 2 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 31772349504 + 99013432896 = 178248^2 + 314664^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 107 ways as a sum of consecutive naturals, for example, 18342036 + ... + 18349164.

Almost surely, 2^130785782400 is an apocalyptic number.

130785782400 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 130785782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292353065550).

130785782400 is an abundant number, since it is smaller than the sum of its proper divisors (453920348700).

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

130785782400 is a wasteful number, since it uses less digits than its factorization.

130785782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7186 (or 7159 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 130785782400 in words is "one hundred thirty billion, seven hundred eighty-five million, seven hundred eighty-two thousand, four hundred".