130075896384 has 280 divisors, whose sum is σ = 447901088448. Its totient is φ = 36554664960.

The previous prime is 130075896347. The next prime is 130075896397. The reversal of 130075896384 is 483698570031.

It is a super-2 number, since 2×130075896384² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 130075896384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2184187 + ... + 2242949.

Almost surely, 2^130075896384 is an apocalyptic number.

130075896384 is a gapful number since it is divisible by the number (14) 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 130075896384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223950544224).

130075896384 is an abundant number, since it is smaller than the sum of its proper divisors (317825192064).

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

130075896384 is an equidigital number, since it uses as much as digits as its factorization.

130075896384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58855 (or 58836 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 130075896384 in words is "one hundred thirty billion, seventy-five million, eight hundred ninety-six thousand, three hundred eighty-four".