2868351532800 has 1728 divisors, whose sum is σ = 11106385145856. Its totient is φ = 646565068800.

The previous prime is 2868351532777. The next prime is 2868351532877. The reversal of 2868351532800 is 82351538682.

It is a super-2 number, since 2×2868351532800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12310521484 + ... + 12310521716.

Almost surely, 2^{2868351532800} is an apocalyptic number.

2868351532800 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 2868351532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553192572928).

2868351532800 is an abundant number, since it is smaller than the sum of its proper divisors (8238033613056).

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

2868351532800 is a wasteful number, since it uses less digits than its factorization.

2868351532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 2868351532800 in words is "two trillion, eight hundred sixty-eight billion, three hundred fifty-one million, five hundred thirty-two thousand, eight hundred".