1530187161600 has 504 divisors, whose sum is σ = 5340589318800. Its totient is φ = 386517565440.

The previous prime is 1530187161589. The next prime is 1530187161623. The reversal of 1530187161600 is 61617810351.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 221794951 + ... + 221801849.

Almost surely, 2^{1530187161600} is an apocalyptic number.

1530187161600 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 1530187161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670294659400).

1530187161600 is an abundant number, since it is smaller than the sum of its proper divisors (3810402157200).

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

1530187161600 is an equidigital number, since it uses as much as digits as its factorization.

1530187161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6976 (or 6928 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 1530187161600 in words is "one trillion, five hundred thirty billion, one hundred eighty-seven million, one hundred sixty-one thousand, six hundred".