130019578859520 has 1040 divisors, whose sum is σ = 533007761045760. Its totient is φ = 29699992977408.

The previous prime is 130019578859477. The next prime is 130019578859537. The reversal of 130019578859520 is 25958875910031.

130019578859520 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 1 + 9 + 57 + 8 + 8 + 59 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27787896541 + ... + 27787901219.

It is an arithmetic number, because the mean of its divisors is an integer number (512507462544).

Almost surely, 2^{130019578859520} is an apocalyptic number.

130019578859520 is a gapful number since it is divisible by the number (10) 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 130019578859520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266503880522880).

130019578859520 is an abundant number, since it is smaller than the sum of its proper divisors (402988182186240).

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

130019578859520 is an equidigital number, since it uses as much as digits as its factorization.

130019578859520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7120 (or 7089 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 63.

The spelling of 130019578859520 in words is "one hundred thirty trillion, nineteen billion, five hundred seventy-eight million, eight hundred fifty-nine thousand, five hundred twenty".