130350628985472 has 2688 divisors, whose sum is σ = 489529317916800. Its totient is φ = 33822360207360.

The previous prime is 130350628985459. The next prime is 130350628985537. The reversal of 130350628985472 is 274589826053031.

130350628985472 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 5 + 0 + 6 + 2 + 89 + 8 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 937774309179 + ... + 937774309317.

It is an arithmetic number, because the mean of its divisors is an integer number (182116561725).

It is a 1-persistent number, because it is pandigital, but 2⋅130350628985472 = 260701257970944 is not.

Almost surely, 2^{130350628985472} is an apocalyptic number.

130350628985472 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 130350628985472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244764658958400).

130350628985472 is an abundant number, since it is smaller than the sum of its proper divisors (359178688931328).

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

130350628985472 is an equidigital number, since it uses as much as digits as its factorization.

130350628985472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 130350628985472 in words is "one hundred thirty trillion, three hundred fifty billion, six hundred twenty-eight million, nine hundred eighty-five thousand, four hundred seventy-two".