2868865830000 has 800 divisors, whose sum is σ = 10630682092800. Its totient is φ = 740057472000.

The previous prime is 2868865829989. The next prime is 2868865830013. The reversal of 2868865830000 is 385688682.

2868865830000 is a `hidden beast` number, since 286 + 8 + 8 + 6 + 58 + 300 + 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 (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1265488867 + ... + 1265491133.

It is an arithmetic number, because the mean of its divisors is an integer number (13288352616).

Almost surely, 2^{2868865830000} is an apocalyptic number.

2868865830000 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 2868865830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5315341046400).

2868865830000 is an abundant number, since it is smaller than the sum of its proper divisors (7761816262800).

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

2868865830000 is a wasteful number, since it uses less digits than its factorization.

2868865830000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 2868865830000 in words is "two trillion, eight hundred sixty-eight billion, eight hundred sixty-five million, eight hundred thirty thousand".