130892122368 has 720 divisors, whose sum is σ = 484992471040. Its totient is φ = 34264166400.

The previous prime is 130892122327. The next prime is 130892122381. The reversal of 130892122368 is 863221298031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 85493763 + ... + 85495293.

Almost surely, 2^130892122368 is an apocalyptic number.

130892122368 is a gapful number since it is divisible by the number (18) 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 130892122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242496235520).

130892122368 is an abundant number, since it is smaller than the sum of its proper divisors (354100348672).

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

130892122368 is a wasteful number, since it uses less digits than its factorization.

130892122368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 130892122368 in words is "one hundred thirty billion, eight hundred ninety-two million, one hundred twenty-two thousand, three hundred sixty-eight".