130085553444 has 384 divisors, whose sum is σ = 419493150720. Its totient is φ = 30336768000.

The previous prime is 130085553439. The next prime is 130085553509. The reversal of 130085553444 is 444355580031.

It is a super-2 number, since 2×130085553444² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 130085553396 and 130085553405.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45626619 + ... + 45629469.

It is an arithmetic number, because the mean of its divisors is an integer number (1092430080).

Almost surely, 2^130085553444 is an apocalyptic number.

130085553444 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 130085553444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209746575360).

130085553444 is an abundant number, since it is smaller than the sum of its proper divisors (289407597276).

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

130085553444 is a wasteful number, since it uses less digits than its factorization.

130085553444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 130085553444 in words is "one hundred thirty billion, eighty-five million, five hundred fifty-three thousand, four hundred forty-four".