1530540211200 has 2112 divisors, whose sum is σ = 6964812890112. Its totient is φ = 286123622400.

The previous prime is 1530540211171. The next prime is 1530540211223. The reversal of 1530540211200 is 21120450351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 3305702169 + ... + 3305702631.

It is an arithmetic number, because the mean of its divisors is an integer number (3297733376).

Almost surely, 2^{1530540211200} is an apocalyptic number.

1530540211200 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 1530540211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482406445056).

1530540211200 is an abundant number, since it is smaller than the sum of its proper divisors (5434272678912).

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

1530540211200 is a wasteful number, since it uses less digits than its factorization.

1530540211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 1530540211200 its reverse (21120450351), we get a palindrome (1551660661551).

The spelling of 1530540211200 in words is "one trillion, five hundred thirty billion, five hundred forty million, two hundred eleven thousand, two hundred".