2859869261200 has 720 divisors, whose sum is σ = 8980833761280. Its totient is φ = 867149660160.

The previous prime is 2859869261141. The next prime is 2859869261201. The reversal of 2859869261200 is 21629689582.

It is not an unprimeable number, because it can be changed into a prime (2859869261201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 804009822 + ... + 804013378.

It is an arithmetic number, because the mean of its divisors is an integer number (12473380224).

Almost surely, 2^{2859869261200} is an apocalyptic number.

2859869261200 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 2859869261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4490416880640).

2859869261200 is an abundant number, since it is smaller than the sum of its proper divisors (6120964500080).

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

2859869261200 is a wasteful number, since it uses less digits than its factorization.

2859869261200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3752 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 58.

The spelling of 2859869261200 in words is "two trillion, eight hundred fifty-nine billion, eight hundred sixty-nine million, two hundred sixty-one thousand, two hundred".