130988165529600 has 1152 divisors, whose sum is σ = 482140172928960. Its totient is φ = 33973862400000.

The previous prime is 130988165529577. The next prime is 130988165529601. The reversal of 130988165529600 is 6925561889031.

130988165529600 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 8 + 8 + 16 + 5 + 5 + 2 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130988165529601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 174418329225 + ... + 174418329975.

Almost surely, 2^{130988165529600} is an apocalyptic number.

130988165529600 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 130988165529600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241070086464480).

130988165529600 is an abundant number, since it is smaller than the sum of its proper divisors (351152007399360).

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

130988165529600 is an equidigital number, since it uses as much as digits as its factorization.

130988165529600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 130988165529600 in words is "one hundred thirty trillion, nine hundred eighty-eight billion, one hundred sixty-five million, five hundred twenty-nine thousand, six hundred".