130561228800 has 540 divisors, whose sum is σ = 473482101456. Its totient is φ = 34386739200.

The previous prime is 130561228769. The next prime is 130561228801. The reversal of 130561228800 is 8822165031.

It is a happy number.

130561228800 is a `hidden beast` number, since 1 + 30 + 5 + 612 + 2 + 8 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (130561228801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 394444635 + ... + 394444965.

Almost surely, 2^130561228800 is an apocalyptic number.

130561228800 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 130561228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236741050728).

130561228800 is an abundant number, since it is smaller than the sum of its proper divisors (342920872656).

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

130561228800 is a wasteful number, since it uses less digits than its factorization.

130561228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 130561228800 in words is "one hundred thirty billion, five hundred sixty-one million, two hundred twenty-eight thousand, eight hundred".