2857785840000 has 3840 divisors, whose sum is σ = 13832892057600. Its totient is φ = 574801920000.

The previous prime is 2857785839977. The next prime is 2857785840011. The reversal of 2857785840000 is 485877582.

2857785840000 is a `hidden beast` number, since 2 + 8 + 57 + 7 + 8 + 584 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 42653519967 + ... + 42653520033.

It is an arithmetic number, because the mean of its divisors is an integer number (3602315640).

Almost surely, 2^{2857785840000} is an apocalyptic number.

2857785840000 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 2857785840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6916446028800).

2857785840000 is an abundant number, since it is smaller than the sum of its proper divisors (10975106217600).

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

2857785840000 is a wasteful number, since it uses less digits than its factorization.

2857785840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 2857785840000 in words is "two trillion, eight hundred fifty-seven billion, seven hundred eighty-five million, eight hundred forty thousand".