5786968860288 has 1728 divisors, whose sum is σ = 22247180766720. Its totient is φ = 1437004800000.

The previous prime is 5786968860247. The next prime is 5786968860311. The reversal of 5786968860288 is 8820688696875.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 31972203558 + ... + 31972203738.

Almost surely, 2^{5786968860288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5786968860288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11123590383360).

5786968860288 is an abundant number, since it is smaller than the sum of its proper divisors (16460211906432).

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

5786968860288 is a wasteful number, since it uses less digits than its factorization.

5786968860288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 4459069440, while the sum is 81.

The spelling of 5786968860288 in words is "five trillion, seven hundred eighty-six billion, nine hundred sixty-eight million, eight hundred sixty thousand, two hundred eighty-eight".