130907992288392 has 384 divisors, whose sum is σ = 408523901760000. Its totient is φ = 37452678912000.

The previous prime is 130907992288391. The next prime is 130907992288393. The reversal of 130907992288392 is 293882299709031.

130907992288392 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 0 + 7 + 9 + 9 + 228 + 8 + 392 = 666.

It is an interprime number because it is at equal distance from previous prime (130907992288391) and next prime (130907992288393).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 130907992288392.

It is not an unprimeable number, because it can be changed into a prime (130907992288391) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20167612267 + ... + 20167618757.

It is an arithmetic number, because the mean of its divisors is an integer number (1063864327500).

Almost surely, 2^{130907992288392} is an apocalyptic number.

130907992288392 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 130907992288392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204261950880000).

130907992288392 is an abundant number, since it is smaller than the sum of its proper divisors (277615909471608).

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

130907992288392 is a wasteful number, since it uses less digits than its factorization.

130907992288392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10913 (or 10906 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 130907992288392 in words is "one hundred thirty trillion, nine hundred seven billion, nine hundred ninety-two million, two hundred eighty-eight thousand, three hundred ninety-two".