9052735241088 has 1152 divisors, whose sum is σ = 33217635971520. Its totient is φ = 2316238848000.

The previous prime is 9052735241063. The next prime is 9052735241107. The reversal of 9052735241088 is 8801425372509.

9052735241088 is a `hidden beast` number, since 9 + 0 + 5 + 2 + 7 + 3 + 524 + 108 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32216139508 + ... + 32216139788.

Almost surely, 2^{9052735241088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9052735241088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16608817985760).

9052735241088 is an abundant number, since it is smaller than the sum of its proper divisors (24164900730432).

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

9052735241088 is a wasteful number, since it uses less digits than its factorization.

9052735241088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 9052735241088 in words is "nine trillion, fifty-two billion, seven hundred thirty-five million, two hundred forty-one thousand, eighty-eight".