130827773336208 has 320 divisors, whose sum is σ = 388875783690240. Its totient is φ = 37584943570944.

The previous prime is 130827773336201. The next prime is 130827773336213. The reversal of 130827773336208 is 802633377728031.

It is a happy number.

It is a super-2 number, since 2×130827773336208² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130827773336201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 974390616 + ... + 974524872.

It is an arithmetic number, because the mean of its divisors is an integer number (1215236824032).

Almost surely, 2^{130827773336208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130827773336208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194437891845120).

130827773336208 is an abundant number, since it is smaller than the sum of its proper divisors (258048010354032).

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

130827773336208 is a wasteful number, since it uses less digits than its factorization.

130827773336208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135926 (or 135920 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 60.

The spelling of 130827773336208 in words is "one hundred thirty trillion, eight hundred twenty-seven billion, seven hundred seventy-three million, three hundred thirty-six thousand, two hundred eight".