1530023952072 has 256 divisors, whose sum is σ = 4810254336000. Its totient is φ = 393973632000.

The previous prime is 1530023952059. The next prime is 1530023952073. The reversal of 1530023952072 is 2702593200351.

It is a self number, because there is not a number n which added to its sum of digits gives 1530023952072.

It is not an unprimeable number, because it can be changed into a prime (1530023952073) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 148960297 + ... + 148970567.

It is an arithmetic number, because the mean of its divisors is an integer number (18790056000).

Almost surely, 2^{1530023952072} is an apocalyptic number.

1530023952072 is a gapful number since it is divisible by the number (12) 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 1530023952072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405127168000).

1530023952072 is an abundant number, since it is smaller than the sum of its proper divisors (3280230383928).

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

1530023952072 is a wasteful number, since it uses less digits than its factorization.

1530023952072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10988 (or 10984 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 1530023952072 in words is "one trillion, five hundred thirty billion, twenty-three million, nine hundred fifty-two thousand, seventy-two".