130562053300800 has 2016 divisors, whose sum is σ = 542021628395520. Its totient is φ = 29457683251200.

The previous prime is 130562053300793. The next prime is 130562053300837. The reversal of 130562053300800 is 8003350265031.

130562053300800 is a `hidden beast` number, since 13 + 0 + 562 + 0 + 5 + 3 + 3 + 0 + 0 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 102081354561 + ... + 102081355839.

It is an arithmetic number, because the mean of its divisors is an integer number (268859934720).

Almost surely, 2^{130562053300800} is an apocalyptic number.

130562053300800 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 130562053300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271010814197760).

130562053300800 is an abundant number, since it is smaller than the sum of its proper divisors (411459575094720).

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

130562053300800 is a wasteful number, since it uses less digits than its factorization.

130562053300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 130562053300800 in words is "one hundred thirty trillion, five hundred sixty-two billion, fifty-three million, three hundred thousand, eight hundred".