9530852728320 has 1920 divisors, whose sum is σ = 42951795194880. Its totient is φ = 1910897049600.

The previous prime is 9530852728303. The next prime is 9530852728403. The reversal of 9530852728320 is 238272580359.

It is a happy number.

9530852728320 is a `hidden beast` number, since 9 + 5 + 30 + 8 + 527 + 2 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6225245955 + ... + 6225247485.

It is an arithmetic number, because the mean of its divisors is an integer number (22370726664).

Almost surely, 2^{9530852728320} is an apocalyptic number.

9530852728320 is a gapful number since it is divisible by the number (90) 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 9530852728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21475897597440).

9530852728320 is an abundant number, since it is smaller than the sum of its proper divisors (33420942466560).

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

9530852728320 is a wasteful number, since it uses less digits than its factorization.

9530852728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 9530852728320 in words is "nine trillion, five hundred thirty billion, eight hundred fifty-two million, seven hundred twenty-eight thousand, three hundred twenty".