130832811360 has 576 divisors, whose sum is σ = 494776719360. Its totient is φ = 32267289600.

The previous prime is 130832811313. The next prime is 130832811451. The reversal of 130832811360 is 63118238031.

130832811360 is a `hidden beast` number, since 1 + 308 + 3 + 281 + 13 + 60 = 666.

It is a super-2 number, since 2×130832811360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 67058385 + ... + 67060335.

It is an arithmetic number, because the mean of its divisors is an integer number (858987360).

Almost surely, 2^130832811360 is an apocalyptic number.

130832811360 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 130832811360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247388359680).

130832811360 is an abundant number, since it is smaller than the sum of its proper divisors (363943908000).

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

130832811360 is a wasteful number, since it uses less digits than its factorization.

130832811360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 130832811360 in words is "one hundred thirty billion, eight hundred thirty-two million, eight hundred eleven thousand, three hundred sixty".