1530472084960 has 576 divisors, whose sum is σ = 4551804149760. Its totient is φ = 476093030400.

The previous prime is 1530472084957. The next prime is 1530472084963. The reversal of 1530472084960 is 694802740351.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1530472084957) and next prime (1530472084963).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1530472084963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4263153261 + ... + 4263153619.

It is an arithmetic number, because the mean of its divisors is an integer number (7902437760).

It is a 1-persistent number, because it is pandigital, but 2⋅1530472084960 = 3060944169920 is not.

Almost surely, 2^{1530472084960} is an apocalyptic number.

1530472084960 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 1530472084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275902074880).

1530472084960 is an abundant number, since it is smaller than the sum of its proper divisors (3021332064800).

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

1530472084960 is a wasteful number, since it uses less digits than its factorization.

1530472084960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 1530472084960 in words is "one trillion, five hundred thirty billion, four hundred seventy-two million, eighty-four thousand, nine hundred sixty".