9052538880 has 768 divisors, whose sum is σ = 37362124800. Its totient is φ = 1816657920.

The previous prime is 9052538867. The next prime is 9052538893. The reversal of 9052538880 is 888352509.

It is an interprime number because it is at equal distance from previous prime (9052538867) and next prime (9052538893).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101713876 + ... + 101713964.

It is an arithmetic number, because the mean of its divisors is an integer number (48648600).

Almost surely, 2^9052538880 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 9052538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18681062400).

9052538880 is an abundant number, since it is smaller than the sum of its proper divisors (28309585920).

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

9052538880 is a wasteful number, since it uses less digits than its factorization.

9052538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The square root of 9052538880 is about 95144.8310734745. The cubic root of 9052538880 is about 2084.1235750836.

The spelling of 9052538880 in words is "nine billion, fifty-two million, five hundred thirty-eight thousand, eight hundred eighty".