130002059980800 has 2496 divisors, whose sum is σ = 576746002560000. Its totient is φ = 28042450698240.

The previous prime is 130002059980747. The next prime is 130002059980811. The reversal of 130002059980800 is 8089950200031.

It is a happy number.

130002059980800 is a `hidden beast` number, since 1 + 30 + 0 + 0 + 20 + 599 + 8 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 128333721094 + ... + 128333722106.

It is an arithmetic number, because the mean of its divisors is an integer number (231068110000).

Almost surely, 2^{130002059980800} is an apocalyptic number.

130002059980800 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 130002059980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288373001280000).

130002059980800 is an abundant number, since it is smaller than the sum of its proper divisors (446743942579200).

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

130002059980800 is a wasteful number, since it uses less digits than its factorization.

130002059980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 130002059980800 in words is "one hundred thirty trillion, two billion, fifty-nine million, nine hundred eighty thousand, eight hundred".