130263292800 has 480 divisors, whose sum is σ = 482560598520. Its totient is φ = 34602577920.

The previous prime is 130263292799. The next prime is 130263292823. The reversal of 130263292800 is 8292362031.

130263292800 is a `hidden beast` number, since 1 + 30 + 26 + 329 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 79573582 + ... + 79575218.

Almost surely, 2^130263292800 is an apocalyptic number.

130263292800 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 130263292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241280299260).

130263292800 is an abundant number, since it is smaller than the sum of its proper divisors (352297305720).

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

130263292800 is a wasteful number, since it uses less digits than its factorization.

130263292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 130263292800 in words is "one hundred thirty billion, two hundred sixty-three million, two hundred ninety-two thousand, eight hundred".