5777142868560 has 320 divisors, whose sum is σ = 21372043530240. Its totient is φ = 1262216355840.

The previous prime is 5777142868559. The next prime is 5777142868597. The reversal of 5777142868560 is 658682417775.

It is a super-3 number, since 3×5777142868560³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5777142868491 and 5777142868500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57484755 + ... + 57585165.

It is an arithmetic number, because the mean of its divisors is an integer number (66787636032).

Almost surely, 2^{5777142868560} 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 5777142868560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10686021765120).

5777142868560 is an abundant number, since it is smaller than the sum of its proper divisors (15594900661680).

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

5777142868560 is a wasteful number, since it uses less digits than its factorization.

5777142868560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101946 (or 101940 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 66.

The spelling of 5777142868560 in words is "five trillion, seven hundred seventy-seven billion, one hundred forty-two million, eight hundred sixty-eight thousand, five hundred sixty".