130042527084288 has 3456 divisors, whose sum is σ = 521270704281600. Its totient is φ = 30224464478208.

The previous prime is 130042527084271. The next prime is 130042527084319. The reversal of 130042527084288 is 882480725240031.

It is a happy number.

130042527084288 is a `hidden beast` number, since 1 + 30 + 0 + 4 + 2 + 527 + 0 + 8 + 4 + 2 + 88 = 666.

It is a super-2 number, since 2×130042527084288² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 410228791906 + ... + 410228792222.

It is an arithmetic number, because the mean of its divisors is an integer number (150830643600).

Almost surely, 2^{130042527084288} is an apocalyptic number.

130042527084288 is a gapful number since it is divisible by the number (18) 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 130042527084288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260635352140800).

130042527084288 is an abundant number, since it is smaller than the sum of its proper divisors (391228177197312).

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

130042527084288 is a wasteful number, since it uses less digits than its factorization.

130042527084288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 130042527084288 in words is "one hundred thirty trillion, forty-two billion, five hundred twenty-seven million, eighty-four thousand, two hundred eighty-eight".