130820832000 has 720 divisors, whose sum is σ = 499103789184. Its totient is φ = 34007040000.

The previous prime is 130820831951. The next prime is 130820832011. The reversal of 130820832000 is 238028031.

130820832000 is a `hidden beast` number, since 130 + 8 + 208 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×130820832000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 106271385 + ... + 106272615.

Almost surely, 2^130820832000 is an apocalyptic number.

130820832000 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 130820832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249551894592).

130820832000 is an abundant number, since it is smaller than the sum of its proper divisors (368282957184).

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

130820832000 is an equidigital number, since it uses as much as digits as its factorization.

130820832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 130820832000 in words is "one hundred thirty billion, eight hundred twenty million, eight hundred thirty-two thousand".