130821559344 has 120 divisors (see below), whose sum is σ = 419245026720. Its totient is φ = 37304008704.

The previous prime is 130821559343. The next prime is 130821559361. The reversal of 130821559344 is 443955128031.

130821559344 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 2 + 15 + 593 + 44 = 666.

It is a super-2 number, since 2×130821559344² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130821559344.

It is not an unprimeable number, because it can be changed into a prime (130821559343) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 385584 + ... + 640560.

It is an arithmetic number, because the mean of its divisors is an integer number (3493708556).

Almost surely, 2^130821559344 is an apocalyptic number.

130821559344 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 130821559344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209622513360).

130821559344 is an abundant number, since it is smaller than the sum of its proper divisors (288423467376).

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

130821559344 is a wasteful number, since it uses less digits than its factorization.

130821559344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255507 (or 255498 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 130821559344 in words is "one hundred thirty billion, eight hundred twenty-one million, five hundred fifty-nine thousand, three hundred forty-four".