2785133472000 has 1152 divisors, whose sum is σ = 10352131485696. Its totient is φ = 663505920000.

The previous prime is 2785133471969. The next prime is 2785133472059. The reversal of 2785133472000 is 2743315872.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9072095847 + ... + 9072096153.

It is an arithmetic number, because the mean of its divisors is an integer number (8986225248).

Almost surely, 2^{2785133472000} is an apocalyptic number.

2785133472000 is a gapful number since it is divisible by the number (20) 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 2785133472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176065742848).

2785133472000 is an abundant number, since it is smaller than the sum of its proper divisors (7566998013696).

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

2785133472000 is an equidigital number, since it uses as much as digits as its factorization.

2785133472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

Adding to 2785133472000 its reverse (2743315872), we get a palindrome (2787876787872).

The spelling of 2785133472000 in words is "two trillion, seven hundred eighty-five billion, one hundred thirty-three million, four hundred seventy-two thousand".