130827868272 has 240 divisors, whose sum is σ = 381782082240. Its totient is φ = 41797324800.

The previous prime is 130827868219. The next prime is 130827868289. The reversal of 130827868272 is 272868728031.

130827868272 is a `hidden beast` number, since 1 + 308 + 2 + 7 + 8 + 68 + 272 = 666.

It is a super-2 number, since 2×130827868272² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55504918 + ... + 55507274.

It is an arithmetic number, because the mean of its divisors is an integer number (1590758676).

Almost surely, 2^130827868272 is an apocalyptic number.

130827868272 is a gapful number since it is divisible by the number (12) 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 130827868272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190891041120).

130827868272 is an abundant number, since it is smaller than the sum of its proper divisors (250954213968).

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

130827868272 is a wasteful number, since it uses less digits than its factorization.

130827868272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 130827868272 in words is "one hundred thirty billion, eight hundred twenty-seven million, eight hundred sixty-eight thousand, two hundred seventy-two".