2856506000000 has 112 divisors (see below), whose sum is σ = 7113283362870. Its totient is φ = 1142601600000.

The previous prime is 2856505999939. The next prime is 2856506000041. The reversal of 2856506000000 is 6056582.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 1680010007104 + 1176495992896 = 1296152^2 + 1084664^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 13 ways as a sum of consecutive naturals, for example, 1285874 + ... + 2714126.

Almost surely, 2^{2856506000000} is an apocalyptic number.

2856506000000 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 2856506000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556641681435).

2856506000000 is an abundant number, since it is smaller than the sum of its proper divisors (4256777362870).

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

2856506000000 is an frugal number, since it uses more digits than its factorization.

2856506000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428297 (or 1428260 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 2856506000000 in words is "two trillion, eight hundred fifty-six billion, five hundred six million", and thus it is an aban number.