130849585760160 has 768 divisors, whose sum is σ = 501209821163520. Its totient is φ = 31739762442240.

The previous prime is 130849585760111. The next prime is 130849585760183. The reversal of 130849585760160 is 61067585948031.

130849585760160 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 4 + 9 + 58 + 576 + 0 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×130849585760160² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1759805544 + ... + 1759879896.

It is an arithmetic number, because the mean of its divisors is an integer number (652616954640).

Almost surely, 2^{130849585760160} is an apocalyptic number.

130849585760160 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 130849585760160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250604910581760).

130849585760160 is an abundant number, since it is smaller than the sum of its proper divisors (370360235403360).

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

130849585760160 is a wasteful number, since it uses less digits than its factorization.

130849585760160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75198 (or 75184 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 130849585760160 in words is "one hundred thirty trillion, eight hundred forty-nine billion, five hundred eighty-five million, seven hundred sixty thousand, one hundred sixty".