2868345711000 has 2304 divisors, whose sum is σ = 12875457254400. Its totient is φ = 559249920000.

The previous prime is 2868345710957. The next prime is 2868345711017. The reversal of 2868345711000 is 1175438682.

2868345711000 is a `hidden beast` number, since 2 + 8 + 6 + 83 + 457 + 110 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 39292406964 + ... + 39292407036.

It is an arithmetic number, because the mean of its divisors is an integer number (5588306100).

Almost surely, 2^{2868345711000} is an apocalyptic number.

2868345711000 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 2868345711000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6437728627200).

2868345711000 is an abundant number, since it is smaller than the sum of its proper divisors (10007111543400).

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

2868345711000 is a wasteful number, since it uses less digits than its factorization.

2868345711000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 2868345711000 in words is "two trillion, eight hundred sixty-eight billion, three hundred forty-five million, seven hundred eleven thousand".