130648505057280 has 2432 divisors, whose sum is σ = 570542367375360. Its totient is φ = 28032513343488.

The previous prime is 130648505057267. The next prime is 130648505057293. The reversal of 130648505057280 is 82750505846031.

130648505057280 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 4 + 8 + 50 + 505 + 7 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (130648505057267) and next prime (130648505057293).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 341118811969 + ... + 341118812351.

Almost surely, 2^{130648505057280} is an apocalyptic number.

130648505057280 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 130648505057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285271183687680).

130648505057280 is an abundant number, since it is smaller than the sum of its proper divisors (439893862318080).

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

130648505057280 is an frugal number, since it uses more digits than its factorization.

130648505057280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 130648505057280 in words is "one hundred thirty trillion, six hundred forty-eight billion, five hundred five million, fifty-seven thousand, two hundred eighty".