2856784896000 has 1792 divisors, whose sum is σ = 12512942208000. Its totient is φ = 629224243200.

The previous prime is 2856784895981. The next prime is 2856784896079. The reversal of 2856784896000 is 6984876582.

2856784896000 is a `hidden beast` number, since 2 + 8 + 567 + 8 + 4 + 8 + 9 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×2856784896000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5612543746 + ... + 5612544254.

Almost surely, 2^{2856784896000} is an apocalyptic number.

2856784896000 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 2856784896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6256471104000).

2856784896000 is an abundant number, since it is smaller than the sum of its proper divisors (9656157312000).

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

2856784896000 is an equidigital number, since it uses as much as digits as its factorization.

2856784896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 2856784896000 in words is "two trillion, eight hundred fifty-six billion, seven hundred eighty-four million, eight hundred ninety-six thousand".