130788604800 has 576 divisors, whose sum is σ = 556814919600. Its totient is φ = 29893570560.

The previous prime is 130788604787. The next prime is 130788604847. The reversal of 130788604800 is 8406887031.

130788604800 is a `hidden beast` number, since 1 + 30 + 7 + 8 + 8 + 604 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 4218154 + ... + 4249046.

Almost surely, 2^130788604800 is an apocalyptic number.

130788604800 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 130788604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278407459800).

130788604800 is an abundant number, since it is smaller than the sum of its proper divisors (426026314800).

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

130788604800 is a wasteful number, since it uses less digits than its factorization.

130788604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30940 (or 30910 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 130788604800 in words is "one hundred thirty billion, seven hundred eighty-eight million, six hundred four thousand, eight hundred".