130918809600 has 480 divisors, whose sum is σ = 485252203590. Its totient is φ = 34893987840.

The previous prime is 130918809557. The next prime is 130918809653. The reversal of 130918809600 is 6908819031.

130918809600 is a `hidden beast` number, since 1 + 30 + 9 + 1 + 8 + 8 + 0 + 9 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 78364164096 + 52554645504 = 279936^2 + 229248^2 .

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 66354214 + ... + 66356186.

Almost surely, 2^130918809600 is an apocalyptic number.

130918809600 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 130918809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242626101795).

130918809600 is an abundant number, since it is smaller than the sum of its proper divisors (354333393990).

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

130918809600 is an frugal number, since it uses more digits than its factorization.

130918809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 130918809600 in words is "one hundred thirty billion, nine hundred eighteen million, eight hundred nine thousand, six hundred".