130217705280 has 1344 divisors, whose sum is σ = 533238870528. Its totient is φ = 28904325120.

The previous prime is 130217705251. The next prime is 130217705291. The reversal of 130217705280 is 82507712031.

130217705280 is a `hidden beast` number, since 1 + 302 + 1 + 7 + 70 + 5 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1943547807 + ... + 1943547873.

It is an arithmetic number, because the mean of its divisors is an integer number (396755112).

Almost surely, 2^130217705280 is an apocalyptic number.

130217705280 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 130217705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266619435264).

130217705280 is an abundant number, since it is smaller than the sum of its proper divisors (403021165248).

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

130217705280 is a wasteful number, since it uses less digits than its factorization.

130217705280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 130217705280 in words is "one hundred thirty billion, two hundred seventeen million, seven hundred five thousand, two hundred eighty".