9057484800000 has 2592 divisors, whose sum is σ = 41743600988544. Its totient is φ = 1911029760000.

The previous prime is 9057484799963. The next prime is 9057484800073. The reversal of 9057484800000 is 84847509.

9057484800000 is a `hidden beast` number, since 90 + 5 + 7 + 484 + 80 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 696729599994 + ... + 696729600006.

It is an arithmetic number, because the mean of its divisors is an integer number (16104784332).

Almost surely, 2^{9057484800000} is an apocalyptic number.

9057484800000 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 9057484800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20871800494272).

9057484800000 is an abundant number, since it is smaller than the sum of its proper divisors (32686116188544).

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

9057484800000 is an frugal number, since it uses more digits than its factorization.

9057484800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 9057484800000 in words is "nine trillion, fifty-seven billion, four hundred eighty-four million, eight hundred thousand".