5766787891200 has 1440 divisors, whose sum is σ = 23034407734800. Its totient is φ = 1268357529600.

The previous prime is 5766787891157. The next prime is 5766787891243. The reversal of 5766787891200 is 21987876675.

It is an interprime number because it is at equal distance from previous prime (5766787891157) and next prime (5766787891243).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78997094364 + ... + 78997094436.

Almost surely, 2^{5766787891200} is an apocalyptic number.

5766787891200 is a gapful number since it is divisible by the number (50) 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 5766787891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11517203867400).

5766787891200 is an abundant number, since it is smaller than the sum of its proper divisors (17267619843600).

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

5766787891200 is an frugal number, since it uses more digits than its factorization.

5766787891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 66.

The spelling of 5766787891200 in words is "five trillion, seven hundred sixty-six billion, seven hundred eighty-seven million, eight hundred ninety-one thousand, two hundred".