130977566695872 has 896 divisors, whose sum is σ = 482264742758400. Its totient is φ = 34371446833152.

The previous prime is 130977566695867. The next prime is 130977566695873. The reversal of 130977566695872 is 278596665779031.

It is a junction number, because it is equal to n+sod(n) for n = 130977566695791 and 130977566695800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130977566695873) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 166492638 + ... + 167277474.

It is an arithmetic number, because the mean of its divisors is an integer number (538241900400).

Almost surely, 2^{130977566695872} is an apocalyptic number.

130977566695872 is a gapful number since it is divisible by the number (12) 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 130977566695872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241132371379200).

130977566695872 is an abundant number, since it is smaller than the sum of its proper divisors (351287176062528).

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

130977566695872 is a wasteful number, since it uses less digits than its factorization.

130977566695872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784930 (or 784914 counting only the distinct ones).

The product of its (nonzero) digits is 7201353600, while the sum is 81.

The spelling of 130977566695872 in words is "one hundred thirty trillion, nine hundred seventy-seven billion, five hundred sixty-six million, six hundred ninety-five thousand, eight hundred seventy-two".