130795292160 has 480 divisors, whose sum is σ = 503127931680. Its totient is φ = 32192888832.

The previous prime is 130795292107. The next prime is 130795292167. The reversal of 130795292160 is 61292597031.

It is a happy number.

130795292160 is a `hidden beast` number, since 1 + 30 + 79 + 529 + 21 + 6 + 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130795292167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11675682 + ... + 11686878.

It is an arithmetic number, because the mean of its divisors is an integer number (1048183191).

Almost surely, 2^130795292160 is an apocalyptic number.

130795292160 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 130795292160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251563965840).

130795292160 is an abundant number, since it is smaller than the sum of its proper divisors (372332639520).

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

130795292160 is a wasteful number, since it uses less digits than its factorization.

130795292160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11255 (or 11220 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 130795292160 in words is "one hundred thirty billion, seven hundred ninety-five million, two hundred ninety-two thousand, one hundred sixty".