2856066200064 has 1920 divisors, whose sum is σ = 11256239554560. Its totient is φ = 701407641600.

The previous prime is 2856066199963. The next prime is 2856066200087. The reversal of 2856066200064 is 4600026606582.

2856066200064 is a `hidden beast` number, since 2 + 8 + 560 + 6 + 6 + 20 + 0 + 0 + 64 = 666.

It is a super-2 number, since 2×2856066200064² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2856066199992 and 2856066200019.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17521878447 + ... + 17521878609.

It is an arithmetic number, because the mean of its divisors is an integer number (5862624768).

Almost surely, 2^{2856066200064} is an apocalyptic number.

2856066200064 is a gapful number since it is divisible by the number (24) 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 2856066200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5628119777280).

2856066200064 is an abundant number, since it is smaller than the sum of its proper divisors (8400173354496).

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

2856066200064 is a wasteful number, since it uses less digits than its factorization.

2856066200064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2856066200064 in words is "two trillion, eight hundred fifty-six billion, sixty-six million, two hundred thousand, sixty-four".