130853463552 has 960 divisors, whose sum is σ = 484998243840. Its totient is φ = 34641395712.

The previous prime is 130853463541. The next prime is 130853463593. The reversal of 130853463552 is 255364358031.

130853463552 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 5 + 3 + 4 + 635 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 130853463498 and 130853463507.

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 95 ways as a sum of consecutive naturals, for example, 576446863 + ... + 576447089.

It is an arithmetic number, because the mean of its divisors is an integer number (505206504).

Almost surely, 2^130853463552 is an apocalyptic number.

130853463552 is a gapful number since it is divisible by the number (12) 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 130853463552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242499121920).

130853463552 is an abundant number, since it is smaller than the sum of its proper divisors (354144780288).

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

130853463552 is a wasteful number, since it uses less digits than its factorization.

130853463552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 130853463552 in words is "one hundred thirty billion, eight hundred fifty-three million, four hundred sixty-three thousand, five hundred fifty-two".