1530997145600 has 384 divisors, whose sum is σ = 4113081980280. Its totient is φ = 561952849920.

The previous prime is 1530997145599. The next prime is 1530997145633. The reversal of 1530997145600 is 65417990351.

It can be written as a sum of positive squares in 12 ways, for example, as 243988578304 + 1287008567296 = 493952^2 + 1134464^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2481356492 + ... + 2481357108.

Almost surely, 2^{1530997145600} is an apocalyptic number.

1530997145600 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 1530997145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056540990140).

1530997145600 is an abundant number, since it is smaller than the sum of its proper divisors (2582084834680).

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

1530997145600 is an equidigital number, since it uses as much as digits as its factorization.

1530997145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 50.

The spelling of 1530997145600 in words is "one trillion, five hundred thirty billion, nine hundred ninety-seven million, one hundred forty-five thousand, six hundred".