2785820553216 has 1248 divisors, whose sum is σ = 9397382012928. Its totient is φ = 820468776960.

The previous prime is 2785820553211. The next prime is 2785820553223. The reversal of 2785820553216 is 6123550285872.

It is a happy number.

2785820553216 is a `hidden beast` number, since 2 + 7 + 8 + 5 + 82 + 0 + 553 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2785820553211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24653279176 + ... + 24653279288.

It is an arithmetic number, because the mean of its divisors is an integer number (7529953536).

Almost surely, 2^{2785820553216} 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 2785820553216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698691006464).

2785820553216 is an abundant number, since it is smaller than the sum of its proper divisors (6611561459712).

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

2785820553216 is a wasteful number, since it uses less digits than its factorization.

2785820553216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 2785820553216 in words is "two trillion, seven hundred eighty-five billion, eight hundred twenty million, five hundred fifty-three thousand, two hundred sixteen".