9052052929920 has 4608 divisors, whose sum is σ = 46077689548800. Its totient is φ = 1603778641920.

The previous prime is 9052052929897. The next prime is 9052052929957. The reversal of 9052052929920 is 299292502509.

9052052929920 is a `hidden beast` number, since 9 + 0 + 5 + 2 + 0 + 529 + 2 + 99 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 54203909677 + ... + 54203909843.

It is an arithmetic number, because the mean of its divisors is an integer number (9999498600).

Almost surely, 2^{9052052929920} is an apocalyptic number.

9052052929920 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 9052052929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23038844774400).

9052052929920 is an abundant number, since it is smaller than the sum of its proper divisors (37025636618880).

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

9052052929920 is a wasteful number, since it uses less digits than its factorization.

9052052929920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 9052052929920 in words is "nine trillion, fifty-two billion, fifty-two million, nine hundred twenty-nine thousand, nine hundred twenty".