1530056355840 has 520 divisors, whose sum is σ = 5661987205248. Its totient is φ = 394839982080.

The previous prime is 1530056355781. The next prime is 1530056355857. The reversal of 1530056355840 is 485536500351.

1530056355840 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 0 + 5 + 63 + 5 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51410404 + ... + 51440156.

Almost surely, 2^{1530056355840} is an apocalyptic number.

1530056355840 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 1530056355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830993602624).

1530056355840 is an abundant number, since it is smaller than the sum of its proper divisors (4131930849408).

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

1530056355840 is an equidigital number, since it uses as much as digits as its factorization.

1530056355840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29825 (or 29794 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 1530056355840 in words is "one trillion, five hundred thirty billion, fifty-six million, three hundred fifty-five thousand, eight hundred forty".