2852563896000 has 1344 divisors, whose sum is σ = 12640667160576. Its totient is φ = 597943296000.

The previous prime is 2852563895989. The next prime is 2852563896001. The reversal of 2852563896000 is 6983652582.

2852563896000 is a `hidden beast` number, since 2 + 8 + 5 + 25 + 6 + 3 + 8 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (2852563896001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1067974665 + ... + 1067977335.

It is an arithmetic number, because the mean of its divisors is an integer number (9405258304).

Almost surely, 2^{2852563896000} is an apocalyptic number.

2852563896000 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 2852563896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6320333580288).

2852563896000 is an abundant number, since it is smaller than the sum of its proper divisors (9788103264576).

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

2852563896000 is a wasteful number, since it uses less digits than its factorization.

2852563896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 2852563896000 in words is "two trillion, eight hundred fifty-two billion, five hundred sixty-three million, eight hundred ninety-six thousand".