2850884812800 has 1080 divisors, whose sum is σ = 11044407550176. Its totient is φ = 725625077760.

The previous prime is 2850884812799. The next prime is 2850884812813. The reversal of 2850884812800 is 82184880582.

2850884812800 is a `hidden beast` number, since 2 + 8 + 5 + 0 + 88 + 481 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6104678167 + ... + 6104678633.

Almost surely, 2^{2850884812800} is an apocalyptic number.

2850884812800 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 2850884812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5522203775088).

2850884812800 is an abundant number, since it is smaller than the sum of its proper divisors (8193522737376).

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

2850884812800 is an frugal number, since it uses more digits than its factorization.

2850884812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 54.

The spelling of 2850884812800 in words is "two trillion, eight hundred fifty billion, eight hundred eighty-four million, eight hundred twelve thousand, eight hundred".