130642481249280 has 7920 divisors, whose sum is σ = 664981553019168. Its totient is φ = 24279633100800.

The previous prime is 130642481249243. The next prime is 130642481249299. The reversal of 130642481249280 is 82942184246031.

130642481249280 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 42 + 4 + 81 + 249 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (7920).

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 719 ways as a sum of consecutive naturals, for example, 1949887779807 + ... + 1949887779873.

Almost surely, 2^{130642481249280} is an apocalyptic number.

130642481249280 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 130642481249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332490776509584).

130642481249280 is an abundant number, since it is smaller than the sum of its proper divisors (534339071769888).

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

130642481249280 is a wasteful number, since it uses less digits than its factorization.

130642481249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 130642481249280 in words is "one hundred thirty trillion, six hundred forty-two billion, four hundred eighty-one million, two hundred forty-nine thousand, two hundred eighty".