2799355852800 has 1440 divisors, whose sum is σ = 11276950885200. Its totient is φ = 682237624320.

The previous prime is 2799355852753. The next prime is 2799355852801. The reversal of 2799355852800 is 82585539972.

2799355852800 is a `hidden beast` number, since 2 + 79 + 9 + 3 + 558 + 5 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2799355852801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7386163011 + ... + 7386163389.

Almost surely, 2^{2799355852800} is an apocalyptic number.

2799355852800 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 2799355852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5638475442600).

2799355852800 is an abundant number, since it is smaller than the sum of its proper divisors (8477595032400).

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

2799355852800 is a wasteful number, since it uses less digits than its factorization.

2799355852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 2799355852800 in words is "two trillion, seven hundred ninety-nine billion, three hundred fifty-five million, eight hundred fifty-two thousand, eight hundred".