130890638592 has 216 divisors, whose sum is σ = 432207397440. Its totient is φ = 37318901760.

The previous prime is 130890638587. The next prime is 130890638629. The reversal of 130890638592 is 295836098031.

130890638592 is a `hidden beast` number, since 13 + 0 + 8 + 9 + 0 + 6 + 38 + 592 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7910584 + ... + 7927112.

Almost surely, 2^130890638592 is an apocalyptic number.

130890638592 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 130890638592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216103698720).

130890638592 is an abundant number, since it is smaller than the sum of its proper divisors (301316758848).

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

130890638592 is a wasteful number, since it uses less digits than its factorization.

130890638592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17049 (or 17032 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 130890638592 in words is "one hundred thirty billion, eight hundred ninety million, six hundred thirty-eight thousand, five hundred ninety-two".