5777114616 has 512 divisors, whose sum is σ = 21504000000. Its totient is φ = 1394081280.

The previous prime is 5777114591. The next prime is 5777114659. The reversal of 5777114616 is 6164117775.

It is a happy number.

5777114616 is a `hidden beast` number, since 577 + 7 + 1 + 14 + 61 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11577135 + ... + 11577633.

It is an arithmetic number, because the mean of its divisors is an integer number (42000000).

Almost surely, 2^5777114616 is an apocalyptic number.

5777114616 is a gapful number since it is divisible by the number (56) 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 5777114616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10752000000).

5777114616 is an abundant number, since it is smaller than the sum of its proper divisors (15726885384).

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

5777114616 is a wasteful number, since it uses less digits than its factorization.

5777114616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 574 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The square root of 5777114616 is about 76007.3326462651. The cubic root of 5777114616 is about 1794.3355486937.

The spelling of 5777114616 in words is "five billion, seven hundred seventy-seven million, one hundred fourteen thousand, six hundred sixteen".