130507959852900 has 540 divisors, whose sum is σ = 493544241490608. Its totient is φ = 29744392890240.

The previous prime is 130507959852899. The next prime is 130507959852901. The reversal of 130507959852900 is 9258959705031.

130507959852900 is a `hidden beast` number, since 1 + 3 + 0 + 50 + 7 + 9 + 59 + 8 + 529 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130507959852899) and next prime (130507959852901).

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (130507959852901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 137250499 + ... + 138198101.

Almost surely, 2^{130507959852900} is an apocalyptic number.

130507959852900 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 130507959852900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246772120745304).

130507959852900 is an abundant number, since it is smaller than the sum of its proper divisors (363036281637708).

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

130507959852900 is a wasteful number, since it uses less digits than its factorization.

130507959852900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947990 (or 947967 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 63.

The spelling of 130507959852900 in words is "one hundred thirty trillion, five hundred seven billion, nine hundred fifty-nine million, eight hundred fifty-two thousand, nine hundred".