1530086290128 has 240 divisors, whose sum is σ = 4896632220480. Its totient is φ = 441833011200.

The previous prime is 1530086290067. The next prime is 1530086290133. The reversal of 1530086290128 is 8210926800351.

1530086290128 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 0 + 8 + 629 + 0 + 12 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2518638 + ... + 3066546.

It is an arithmetic number, because the mean of its divisors is an integer number (20402634252).

Almost surely, 2^{1530086290128} is an apocalyptic number.

1530086290128 is a gapful number since it is divisible by the number (18) 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 1530086290128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448316110240).

1530086290128 is an abundant number, since it is smaller than the sum of its proper divisors (3366545930352).

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

1530086290128 is a wasteful number, since it uses less digits than its factorization.

1530086290128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548018 (or 548009 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1530086290128 in words is "one trillion, five hundred thirty billion, eighty-six million, two hundred ninety thousand, one hundred twenty-eight".