130388759424 has 256 divisors, whose sum is σ = 479786457600. Its totient is φ = 33867141120.

The previous prime is 130388759419. The next prime is 130388759443. The reversal of 130388759424 is 424957883031.

It is a happy number.

130388759424 is a `hidden beast` number, since 13 + 0 + 38 + 8 + 7 + 594 + 2 + 4 = 666.

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 31 ways as a sum of consecutive naturals, for example, 21124 + ... + 511100.

It is an arithmetic number, because the mean of its divisors is an integer number (1874165850).

Almost surely, 2^130388759424 is an apocalyptic number.

130388759424 is a gapful number since it is divisible by the number (14) 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 130388759424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239893228800).

130388759424 is an abundant number, since it is smaller than the sum of its proper divisors (349397698176).

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

130388759424 is a wasteful number, since it uses less digits than its factorization.

130388759424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490018 (or 490000 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 130388759424 in words is "one hundred thirty billion, three hundred eighty-eight million, seven hundred fifty-nine thousand, four hundred twenty-four".