5777097839712 has 288 divisors, whose sum is σ = 17953906763520. Its totient is φ = 1823730163200.

The previous prime is 5777097839641. The next prime is 5777097839753. The reversal of 5777097839712 is 2179387907775.

5777097839712 is a `hidden beast` number, since 5 + 77 + 70 + 97 + 8 + 397 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17903739 + ... + 18223557.

It is an arithmetic number, because the mean of its divisors is an integer number (62339954040).

Almost surely, 2^{5777097839712} 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 5777097839712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8976953381760).

5777097839712 is an abundant number, since it is smaller than the sum of its proper divisors (12176808923808).

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

5777097839712 is a wasteful number, since it uses less digits than its factorization.

5777097839712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319968 (or 319948 counting only the distinct ones).

The product of its (nonzero) digits is 326728080, while the sum is 72.

The spelling of 5777097839712 in words is "five trillion, seven hundred seventy-seven billion, ninety-seven million, eight hundred thirty-nine thousand, seven hundred twelve".